Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310a |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-11504453055637500 = -1 · 22 · 37 · 55 · 78 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 1 -1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,18987,-5053383] |
[a1,a2,a3,a4,a6] |
Generators |
[22420:243813:125] |
Generators of the group modulo torsion |
j |
131302411751/1995637500 |
j-invariant |
L |
3.3924480558732 |
L(r)(E,1)/r! |
Ω |
0.1969247615051 |
Real period |
R |
8.6135639716068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999830152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310bs1 |
Quadratic twists by: -7 |