Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bo |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
1.241196244106E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4405508,-3553608988] |
[a1,a2,a3,a4,a6] |
Generators |
[107400988:4931949666:29791] |
Generators of the group modulo torsion |
j |
20093868785104/26374985 |
j-invariant |
L |
10.451124177872 |
L(r)(E,1)/r! |
Ω |
0.10421609100172 |
Real period |
R |
12.535401225019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480h1 18200u1 |
Quadratic twists by: 5 -7 |