Atkin-Lehner |
2- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410by |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
187392 |
Modular degree for the optimal curve |
Δ |
-20718771920 = -1 · 24 · 5 · 72 · 114 · 192 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 11- -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-783,-10713] |
[a1,a2,a3,a4,a6] |
Generators |
[45:186:1] |
Generators of the group modulo torsion |
j |
-1082163361041/422832080 |
j-invariant |
L |
4.7372500776454 |
L(r)(E,1)/r! |
Ω |
0.44274434360355 |
Real period |
R |
0.33436692741653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999408706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102410cb1 |
Quadratic twists by: -7 |