Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6776h |
Isogeny class |
Conductor |
6776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-384131114752 = -1 · 28 · 7 · 118 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1492,36672] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:242:1] |
Generators of the group modulo torsion |
j |
-810448/847 |
j-invariant |
L |
3.034555059822 |
L(r)(E,1)/r! |
Ω |
0.8647772904125 |
Real period |
R |
0.87726490203462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13552g1 54208o1 60984w1 47432y1 |
Quadratic twists by: -4 8 -3 -7 |