Atkin-Lehner |
2+ 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410o |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
3550599760400 = 24 · 52 · 76 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-77347,-8311491] |
[a1,a2,a3,a4,a6] |
Generators |
[-572944302:286255241:3581577] |
Generators of the group modulo torsion |
j |
434985385981609/30179600 |
j-invariant |
L |
7.334127711913 |
L(r)(E,1)/r! |
Ω |
0.28627917904427 |
Real period |
R |
12.809397679739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2090d1 |
Quadratic twists by: -7 |