Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37400o |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-74800 = -1 · 24 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 11+ 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10,5] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
276480/187 |
j-invariant |
L |
5.9419866873914 |
L(r)(E,1)/r! |
Ω |
2.1695244587878 |
Real period |
R |
1.3694214562371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800m1 37400f1 |
Quadratic twists by: -4 5 |