Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91091r |
Isogeny class |
Conductor |
91091 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
13685760 |
Modular degree for the optimal curve |
Δ |
9.5342092989764E+22 |
Discriminant |
Eigenvalues |
2 -2 -2 7- 11- 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16769874,21857450073] |
[a1,a2,a3,a4,a6] |
Generators |
[248292:7891467:64] |
Generators of the group modulo torsion |
j |
26232410028444086272/4795233247959077 |
j-invariant |
L |
5.9800781727995 |
L(r)(E,1)/r! |
Ω |
0.10161842199565 |
Real period |
R |
2.674925759267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13013e1 91091i1 |
Quadratic twists by: -7 13 |