Atkin-Lehner |
5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17575c |
Isogeny class |
Conductor |
17575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
3260986328125 = 512 · 192 · 37 |
Discriminant |
Eigenvalues |
2 3 5+ 3 -1 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7675,243781] |
[a1,a2,a3,a4,a6] |
j |
3199917920256/208703125 |
j-invariant |
L |
12.50343555463 |
L(r)(E,1)/r! |
Ω |
0.78146472216437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3515b1 |
Quadratic twists by: 5 |