Atkin-Lehner |
2+ 3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950k |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
436800 |
Modular degree for the optimal curve |
Δ |
-221850045450000000 = -1 · 27 · 313 · 58 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11+ 4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63575,-23512875] |
[a1,a2,a3,a4,a6] |
Generators |
[1135:36420:1] |
Generators of the group modulo torsion |
j |
-72750077064985/567936116352 |
j-invariant |
L |
3.0657974597568 |
L(r)(E,1)/r! |
Ω |
0.13262489884277 |
Real period |
R |
3.8527173083739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850fw1 37950co1 |
Quadratic twists by: -3 5 |