Atkin-Lehner |
2- 3+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254bg |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-623762743296 = -1 · 213 · 3 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11+ 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1518,-29793] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-525:1] |
Generators of the group modulo torsion |
j |
161112406847/259792896 |
j-invariant |
L |
7.182460668682 |
L(r)(E,1)/r! |
Ω |
0.48156505571219 |
Real period |
R |
0.57364728634493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254cm1 |
Quadratic twists by: -7 |