Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200di |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
62110800 = 24 · 37 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 3 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3413,75618] |
[a1,a2,a3,a4,a6] |
Generators |
[34:6:1] [22:108:1] |
Generators of the group modulo torsion |
j |
10995116277760/155277 |
j-invariant |
L |
12.012747916713 |
L(r)(E,1)/r! |
Ω |
1.7968656232725 |
Real period |
R |
0.95505574989171 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21300b1 85200cr1 |
Quadratic twists by: -4 5 |