Atkin-Lehner |
2+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370l |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
1847811658860800 = 28 · 52 · 17 · 198 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1155809,-477981187] |
[a1,a2,a3,a4,a6] |
j |
3629614769120241/39276800 |
j-invariant |
L |
2.3296907937417 |
L(r)(E,1)/r! |
Ω |
0.1456056746915 |
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 |
3230g1 |
Quadratic twists by: -19 |