Atkin-Lehner |
2- 7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12614h |
Isogeny class |
Conductor |
12614 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
692459758592 = 210 · 72 · 173 · 532 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5581,-153995] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:88:1] |
Generators of the group modulo torsion |
j |
19221480021667617/692459758592 |
j-invariant |
L |
5.6958052441762 |
L(r)(E,1)/r! |
Ω |
0.5535903820935 |
Real period |
R |
0.34296147647631 |
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 |
100912bd1 113526f1 88298r1 |
Quadratic twists by: -4 -3 -7 |