Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950dh |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-121728420000 = -1 · 25 · 37 · 54 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3313,75017] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-361:1] |
Generators of the group modulo torsion |
j |
-6434520597025/194765472 |
j-invariant |
L |
10.427699246079 |
L(r)(E,1)/r! |
Ω |
1.0424839566629 |
Real period |
R |
0.047632110190516 |
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 |
113850ct1 37950a1 |
Quadratic twists by: -3 5 |