Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656a |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7451136 |
Modular degree for the optimal curve |
Δ |
1.0508711281461E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 3 -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4543492,3387168688] |
[a1,a2,a3,a4,a6] |
Generators |
[-211720:9858996:125] |
Generators of the group modulo torsion |
j |
7028599954926928/712074075813 |
j-invariant |
L |
7.5418150623246 |
L(r)(E,1)/r! |
Ω |
0.15101856523736 |
Real period |
R |
4.161637899316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328n1 124656bb1 |
Quadratic twists by: -4 -7 |