Atkin-Lehner |
2- 3+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62730r |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
239210496 |
Modular degree for the optimal curve |
Δ |
2.8096616448E+31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 -1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55740176948,-5058808924648553] |
[a1,a2,a3,a4,a6] |
Generators |
[-977127816613:2254639648435:6967871] |
Generators of the group modulo torsion |
j |
973055134900160822253509667851643/1427456000000000000000000000 |
j-invariant |
L |
9.6391821879689 |
L(r)(E,1)/r! |
Ω |
0.0098264292284011 |
Real period |
R |
15.327258578498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62730c1 |
Quadratic twists by: -3 |