Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968be |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
101651464503477504 = 28 · 37 · 7 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175692,23835548] |
[a1,a2,a3,a4,a6] |
Generators |
[-460285:217442007:42875] |
Generators of the group modulo torsion |
j |
123904/21 |
j-invariant |
L |
7.7557141291759 |
L(r)(E,1)/r! |
Ω |
0.32061962971266 |
Real period |
R |
12.094883431792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60984ce1 40656g1 121968bx1 |
Quadratic twists by: -4 -3 -11 |