Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550k |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
244800000000 = 212 · 32 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2526,42448] |
[a1,a2,a3,a4,a6] |
j |
114013572049/15667200 |
j-invariant |
L |
1.8992999594092 |
L(r)(E,1)/r! |
Ω |
0.9496499797046 |
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 |
20400ca1 81600o1 7650cf1 510d1 |
Quadratic twists by: -4 8 -3 5 |