Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950by |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-21008527031250 = -1 · 2 · 312 · 57 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 11+ 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8338,363281] |
[a1,a2,a3,a4,a6] |
Generators |
[2900:16743:64] |
Generators of the group modulo torsion |
j |
-4102915888729/1344545730 |
j-invariant |
L |
5.8935493931946 |
L(r)(E,1)/r! |
Ω |
0.6435404075727 |
Real period |
R |
2.2895024631874 |
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 |
113850bw1 7590j1 |
Quadratic twists by: -3 5 |