Atkin-Lehner |
2- 3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71910z |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
202539611980800 = 210 · 36 · 52 · 173 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18518,691557] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:543:1] [-1130:6069:8] |
Generators of the group modulo torsion |
j |
963288634285081/277832115200 |
j-invariant |
L |
12.793544103054 |
L(r)(E,1)/r! |
Ω |
0.52461943095237 |
Real period |
R |
0.4064388821151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7990b1 |
Quadratic twists by: -3 |