Atkin-Lehner |
2+ 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070o |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-61846820352000 = -1 · 212 · 39 · 53 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7110,-301644] |
[a1,a2,a3,a4,a6] |
Generators |
[45:306:1] [55:476:1] |
Generators of the group modulo torsion |
j |
54521855422559/84837888000 |
j-invariant |
L |
5.3171280535599 |
L(r)(E,1)/r! |
Ω |
0.32896759665851 |
Real period |
R |
8.0815376766111 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690y1 |
Quadratic twists by: -3 |