Atkin-Lehner |
2+ 3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650u |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-55357500000 = -1 · 25 · 3 · 57 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1526,25448] |
[a1,a2,a3,a4,a6] |
Generators |
[62:381:1] |
Generators of the group modulo torsion |
j |
-25128011089/3542880 |
j-invariant |
L |
6.0341265212986 |
L(r)(E,1)/r! |
Ω |
1.0813161234522 |
Real period |
R |
1.3950884423073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20130l1 |
Quadratic twists by: 5 |