Atkin-Lehner |
3+ 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
101775g |
Isogeny class |
Conductor |
101775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10741248 |
Modular degree for the optimal curve |
Δ |
7.2512112065735E+21 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 -5 3 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8090508,-7850349457] |
[a1,a2,a3,a4,a6] |
Generators |
[-81499462:95355323:39304] |
Generators of the group modulo torsion |
j |
3748272138577458712576/464077517220703125 |
j-invariant |
L |
11.283884047707 |
L(r)(E,1)/r! |
Ω |
0.090244219481416 |
Real period |
R |
10.419766251175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999800721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20355f1 |
Quadratic twists by: 5 |