Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616el |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-40899522032861184 = -1 · 215 · 39 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11+ 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81291,13200698] |
[a1,a2,a3,a4,a6] |
Generators |
[247:2862:1] |
Generators of the group modulo torsion |
j |
-3451273/2376 |
j-invariant |
L |
8.6499892998627 |
L(r)(E,1)/r! |
Ω |
0.33419620274962 |
Real period |
R |
3.235370879361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702bp1 25872bf1 77616fp1 |
Quadratic twists by: -4 -3 -7 |