Atkin-Lehner |
2+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37510g |
Isogeny class |
Conductor |
37510 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
-132035200 = -1 · 27 · 52 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5- -5 11+ -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,108,-304] |
[a1,a2,a3,a4,a6] |
Generators |
[17:74:1] |
Generators of the group modulo torsion |
j |
103161709/99200 |
j-invariant |
L |
4.7006114975766 |
L(r)(E,1)/r! |
Ω |
1.0088680742865 |
Real period |
R |
1.1648231362912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37510m1 |
Quadratic twists by: -11 |