Atkin-Lehner |
2- 3- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390bn |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-5348894616000 = -1 · 26 · 310 · 53 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1238,-112219] |
[a1,a2,a3,a4,a6] |
Generators |
[111:997:1] |
Generators of the group modulo torsion |
j |
-287626699801/7337304000 |
j-invariant |
L |
8.7319512660699 |
L(r)(E,1)/r! |
Ω |
0.33095720992043 |
Real period |
R |
2.1986606837973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26130m1 |
Quadratic twists by: -3 |