Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13552h |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1.3503376826253E+19 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,463148,128760828] |
[a1,a2,a3,a4,a6] |
Generators |
[854:33880:1] |
Generators of the group modulo torsion |
j |
24226243449392/29774625727 |
j-invariant |
L |
3.8785304325056 |
L(r)(E,1)/r! |
Ω |
0.14976072544654 |
Real period |
R |
2.5898181388619 |
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 |
6776f1 54208cy1 121968cc1 94864u1 |
Quadratic twists by: -4 8 -3 -7 |