Atkin-Lehner |
2+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37240a |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7936 |
Modular degree for the optimal curve |
Δ |
33367040 = 210 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203,1078] |
[a1,a2,a3,a4,a6] |
j |
2634012/95 |
j-invariant |
L |
2.0583610435145 |
L(r)(E,1)/r! |
Ω |
2.0583610435256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74480i1 37240k1 |
Quadratic twists by: -4 -7 |