Atkin-Lehner |
2+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2414a |
Isogeny class |
Conductor |
2414 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2080 |
Modular degree for the optimal curve |
Δ |
48578486272 = 213 · 174 · 71 |
Discriminant |
Eigenvalues |
2+ -1 -2 3 2 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1071,7909] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:152:1] |
Generators of the group modulo torsion |
j |
136058465999737/48578486272 |
j-invariant |
L |
1.8996813006739 |
L(r)(E,1)/r! |
Ω |
1.0358444291097 |
Real period |
R |
0.91697230167407 |
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 |
19312f1 77248b1 21726bb1 60350i1 |
Quadratic twists by: -4 8 -3 5 |