Atkin-Lehner |
2+ 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840l |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-75100950144000 = -1 · 210 · 37 · 53 · 11 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -3 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6333,-369074] |
[a1,a2,a3,a4,a6] |
Generators |
[47:180:1] [95:-1044:1] |
Generators of the group modulo torsion |
j |
37629174524/100604625 |
j-invariant |
L |
11.204495531852 |
L(r)(E,1)/r! |
Ω |
0.3153763969496 |
Real period |
R |
0.49343576461994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999952474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38280r1 |
Quadratic twists by: -3 |