Atkin-Lehner |
2- 3+ 11- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418s |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
135936 |
Modular degree for the optimal curve |
Δ |
942397081956 = 22 · 39 · 113 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12314,526933] |
[a1,a2,a3,a4,a6] |
Generators |
[29:425:1] |
Generators of the group modulo torsion |
j |
10490514850971/47878732 |
j-invariant |
L |
12.455360454418 |
L(r)(E,1)/r! |
Ω |
0.88701667523579 |
Real period |
R |
2.3403093385766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77418b1 |
Quadratic twists by: -3 |