Atkin-Lehner |
2- 5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22610s |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
307496000 = 26 · 53 · 7 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-301,1699] |
[a1,a2,a3,a4,a6] |
j |
3016569760849/307496000 |
j-invariant |
L |
5.0182255365275 |
L(r)(E,1)/r! |
Ω |
1.6727418455092 |
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 |
113050c1 |
Quadratic twists by: 5 |