Atkin-Lehner |
2- 3- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814bc |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-1676913514278912 = -1 · 212 · 36 · 7 · 134 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,27310,-936367] |
[a1,a2,a3,a4,a6] |
Generators |
[681:17911:1] |
Generators of the group modulo torsion |
j |
3090126031886375/2300292886528 |
j-invariant |
L |
9.0210519123156 |
L(r)(E,1)/r! |
Ω |
0.26484245806788 |
Real period |
R |
1.4192481273639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9646b1 |
Quadratic twists by: -3 |