Atkin-Lehner |
2+ 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170a |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5.85671428125E+32 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28148534730,1395878948563700] |
[a1,a2,a3,a4,a6] |
Generators |
[-2869203830306851189101227235377068296056808440554805509060301994754412272039:-4584501348676031461339060957659748897674879645825152854264109094874175872129346:97862476779249499944301072013323392337880625091197044130446055878728321] |
Generators of the group modulo torsion |
j |
91353949052962144654166784839796987/21691534375000000000000000000000 |
j-invariant |
L |
3.7187190681055 |
L(r)(E,1)/r! |
Ω |
0.015348264855683 |
Real period |
R |
121.14460830172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170v2 |
Quadratic twists by: -3 |