Atkin-Lehner |
2+ 3- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390q |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
57006619020 = 22 · 36 · 5 · 13 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 6 13- -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5325,-147799] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:21:1] |
Generators of the group modulo torsion |
j |
22908723765201/78198380 |
j-invariant |
L |
6.0930298097331 |
L(r)(E,1)/r! |
Ω |
0.55899119710796 |
Real period |
R |
2.7250115219509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710l1 |
Quadratic twists by: -3 |