Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bb |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-263239308259200 = -1 · 27 · 317 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 13+ -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-95246,11332928] |
[a1,a2,a3,a4,a6] |
Generators |
[168:199:1] |
Generators of the group modulo torsion |
j |
-3822235013133286465/10529572330368 |
j-invariant |
L |
4.3371349583359 |
L(r)(E,1)/r! |
Ω |
0.55371906605199 |
Real period |
R |
0.23037457207633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200cx1 40950ed1 13650cc1 95550bf1 |
Quadratic twists by: -4 -3 5 -7 |