Atkin-Lehner |
2+ 3- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
101592f |
Isogeny class |
Conductor |
101592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4604664269244672 = 28 · 312 · 173 · 832 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171915447,-867601840790] |
[a1,a2,a3,a4,a6] |
Generators |
[330710003:127804600152:2197] |
Generators of the group modulo torsion |
j |
3010931816611421811567184/24673483953 |
j-invariant |
L |
3.3572549945271 |
L(r)(E,1)/r! |
Ω |
0.04169373766175 |
Real period |
R |
13.420300789154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999757499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33864k2 |
Quadratic twists by: -3 |