Atkin-Lehner |
2- 3- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23010t |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
753991680 = 216 · 3 · 5 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-325,-1855] |
[a1,a2,a3,a4,a6] |
Generators |
[22:31:1] |
Generators of the group modulo torsion |
j |
3797146126801/753991680 |
j-invariant |
L |
10.278655661198 |
L(r)(E,1)/r! |
Ω |
1.1400030167581 |
Real period |
R |
2.254085188833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69030m1 115050a1 |
Quadratic twists by: -3 5 |