Atkin-Lehner |
2+ 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410p |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
151466028560 = 24 · 5 · 77 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1397,6749] |
[a1,a2,a3,a4,a6] |
Generators |
[470:2669:8] |
Generators of the group modulo torsion |
j |
2565726409/1287440 |
j-invariant |
L |
8.1224719201762 |
L(r)(E,1)/r! |
Ω |
0.90957959767785 |
Real period |
R |
4.4649593907077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999848328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630a1 |
Quadratic twists by: -7 |