Atkin-Lehner |
2- 3- 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
78210bu |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-26305248205209600 = -1 · 224 · 38 · 52 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-675707,214100331] |
[a1,a2,a3,a4,a6] |
Generators |
[459:-934:1] |
Generators of the group modulo torsion |
j |
-46802692191438805609/36084016742400 |
j-invariant |
L |
10.704394452913 |
L(r)(E,1)/r! |
Ω |
0.37303080449133 |
Real period |
R |
0.59782788720091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26070b1 |
Quadratic twists by: -3 |