Atkin-Lehner |
2+ 3+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954a |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12862080 |
Modular degree for the optimal curve |
Δ |
4.9090603925872E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -4 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11090097,-9408586347] |
[a1,a2,a3,a4,a6] |
Generators |
[2982970:454656843:125] |
Generators of the group modulo torsion |
j |
26166491059620436441/8515576500537024 |
j-invariant |
L |
3.6544186573918 |
L(r)(E,1)/r! |
Ω |
0.084874278580737 |
Real period |
R |
10.764211282653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999698139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954bc1 |
Quadratic twists by: -7 |