Atkin-Lehner |
2+ 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85162c |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
579600 |
Modular degree for the optimal curve |
Δ |
381300043995178 = 2 · 74 · 115 · 793 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 11- 2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-210774,-37321598] |
[a1,a2,a3,a4,a6] |
j |
431306381662945033/158808847978 |
j-invariant |
L |
1.1141011054223 |
L(r)(E,1)/r! |
Ω |
0.22282023287864 |
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 |
85162n1 |
Quadratic twists by: -7 |