Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
123872h |
Isogeny class |
Conductor |
123872 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
1981952 = 29 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 0 0 7- 3 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,42] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] |
Generators of the group modulo torsion |
j |
189000/79 |
j-invariant |
L |
5.2805576211615 |
L(r)(E,1)/r! |
Ω |
2.3727704529918 |
Real period |
R |
2.2254818862427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999201154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123872e1 123872g1 |
Quadratic twists by: -4 -7 |