Atkin-Lehner |
3+ 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
124545p |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
265440 |
Modular degree for the optimal curve |
Δ |
-43126819875 = -1 · 37 · 53 · 193 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5- 1 -3 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13610,615773] |
[a1,a2,a3,a4,a6] |
Generators |
[522:281:8] |
Generators of the group modulo torsion |
j |
-40650809135104/6287625 |
j-invariant |
L |
12.445932495639 |
L(r)(E,1)/r! |
Ω |
1.1031932687014 |
Real period |
R |
1.880288912274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124545bg1 |
Quadratic twists by: -19 |