Atkin-Lehner |
2+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4070b |
Isogeny class |
Conductor |
4070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6023600 = 24 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-943,11058] |
[a1,a2,a3,a4,a6] |
Generators |
[19:0:1] |
Generators of the group modulo torsion |
j |
92596929932521/6023600 |
j-invariant |
L |
1.6289181308032 |
L(r)(E,1)/r! |
Ω |
2.2693162428217 |
Real period |
R |
0.35890064594476 |
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 |
32560n2 36630be2 20350z2 44770t2 |
Quadratic twists by: -4 -3 5 -11 |