Atkin-Lehner |
2- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
35350w |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
7070000 = 24 · 54 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -1 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1588,-25019] |
[a1,a2,a3,a4,a6] |
Generators |
[91:725:1] |
Generators of the group modulo torsion |
j |
708618166225/11312 |
j-invariant |
L |
12.766256221132 |
L(r)(E,1)/r! |
Ω |
0.75628575744925 |
Real period |
R |
4.2200504555944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35350e1 |
Quadratic twists by: 5 |