Atkin-Lehner |
2+ 5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410bc |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
132000 |
Modular degree for the optimal curve |
Δ |
23990156960 = 25 · 5 · 72 · 115 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-733,-1704] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:64:1] |
Generators of the group modulo torsion |
j |
887130630169/489595040 |
j-invariant |
L |
2.4129195588661 |
L(r)(E,1)/r! |
Ω |
0.98222861634413 |
Real period |
R |
0.49131526309193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102410b1 |
Quadratic twists by: -7 |