Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805s |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
5206335903125 = 55 · 78 · 172 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- -5 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-23046,-1334474] |
[a1,a2,a3,a4,a6] |
j |
39814672384/153125 |
j-invariant |
L |
0.77513891444449 |
L(r)(E,1)/r! |
Ω |
0.38756946737747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115j1 70805bs1 |
Quadratic twists by: -7 17 |