Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616cz |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-28051798376448 = -1 · 214 · 33 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1029,254506] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:294:1] |
Generators of the group modulo torsion |
j |
189/44 |
j-invariant |
L |
4.9813554981175 |
L(r)(E,1)/r! |
Ω |
0.51445193449582 |
Real period |
R |
0.80690328916146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702bb1 77616ct1 77616dv1 |
Quadratic twists by: -4 -3 -7 |