Atkin-Lehner |
2- 3- 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
32370bi |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
108800 |
Modular degree for the optimal curve |
Δ |
87259161600 = 210 · 35 · 52 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71065,7285817] |
[a1,a2,a3,a4,a6] |
Generators |
[152:-37:1] |
Generators of the group modulo torsion |
j |
39690939157146124561/87259161600 |
j-invariant |
L |
10.041656549309 |
L(r)(E,1)/r! |
Ω |
0.92775435973864 |
Real period |
R |
0.21647231174721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110j1 |
Quadratic twists by: -3 |