Atkin-Lehner |
3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
80613a |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
219456 |
Modular degree for the optimal curve |
Δ |
-12817467 = -1 · 33 · 132 · 532 |
Discriminant |
Eigenvalues |
0 3+ 0 1 6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-369720,86528172] |
[a1,a2,a3,a4,a6] |
Generators |
[360:291:1] |
Generators of the group modulo torsion |
j |
-1224875862392832000/2809 |
j-invariant |
L |
5.5310469071875 |
L(r)(E,1)/r! |
Ω |
1.0387106382077 |
Real period |
R |
1.3312290030069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80613d2 80613b1 |
Quadratic twists by: -3 13 |