Atkin-Lehner |
2+ 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37224k |
Isogeny class |
Conductor |
37224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3108864 |
Modular degree for the optimal curve |
Δ |
-4.0299874717837E+21 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61383,3054293530] |
[a1,a2,a3,a4,a6] |
j |
-137056787714896/21594154405562343 |
j-invariant |
L |
3.5444874070676 |
L(r)(E,1)/r! |
Ω |
0.11076523147058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74448b1 12408g1 |
Quadratic twists by: -4 -3 |