Atkin-Lehner |
2- 3+ 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62730q |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
210560 |
Modular degree for the optimal curve |
Δ |
-39504844800000 = -1 · 214 · 33 · 55 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1928,-303669] |
[a1,a2,a3,a4,a6] |
j |
-29340657487107/1463142400000 |
j-invariant |
L |
3.9678937476509 |
L(r)(E,1)/r! |
Ω |
0.28342098253598 |
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 |
62730f1 |
Quadratic twists by: -3 |