Atkin-Lehner |
2- 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
102480bs |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
29422762147860480 = 212 · 35 · 5 · 7 · 615 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-191861,31212195] |
[a1,a2,a3,a4,a6] |
Generators |
[214:9:1] |
Generators of the group modulo torsion |
j |
190689218520776704/7183291540005 |
j-invariant |
L |
7.6339591832285 |
L(r)(E,1)/r! |
Ω |
0.3696438022973 |
Real period |
R |
4.1304407940122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999763109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405b1 |
Quadratic twists by: -4 |