Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3700d |
Isogeny class |
Conductor |
3700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
92500000000 = 28 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -3 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1133,863] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:125:1] |
Generators of the group modulo torsion |
j |
40247296/23125 |
j-invariant |
L |
3.9631322396828 |
L(r)(E,1)/r! |
Ω |
0.91437008817282 |
Real period |
R |
2.16713795155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14800v1 59200i1 33300m1 740c1 |
Quadratic twists by: -4 8 -3 5 |