Atkin-Lehner |
2- 3+ 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23010l |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
15855840 |
Modular degree for the optimal curve |
Δ |
3.1446600162173E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -3 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-449465836,3657570126989] |
[a1,a2,a3,a4,a6] |
Generators |
[7621:817705:1] |
Generators of the group modulo torsion |
j |
10041850968216413574571976426689/31446600162172884000000000 |
j-invariant |
L |
4.2882693888966 |
L(r)(E,1)/r! |
Ω |
0.066139412134705 |
Real period |
R |
0.84203666842373 |
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 |
69030t1 115050bc1 |
Quadratic twists by: -3 5 |