Atkin-Lehner |
2- 3- 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
108630q |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
2040 |
Product of Tamagawa factors cp |
deg |
253808640 |
Modular degree for the optimal curve |
Δ |
7.7571384623738E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 1 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9690349793,-341832810971343] |
[a1,a2,a3,a4,a6] |
Generators |
[-46153:2686500:1] |
Generators of the group modulo torsion |
j |
138043049917917070590782555553481/10640793501198672986112000000 |
j-invariant |
L |
8.9558385290117 |
L(r)(E,1)/r! |
Ω |
0.015290764032335 |
Real period |
R |
0.28710906209992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36210e1 |
Quadratic twists by: -3 |