Atkin-Lehner |
3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1995d |
Isogeny class |
Conductor |
1995 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-137624180157363375 = -1 · 33 · 53 · 74 · 198 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,125380,5207420] |
[a1,a2,a3,a4,a6] |
j |
217975805967584185919/137624180157363375 |
j-invariant |
L |
1.2208243884539 |
L(r)(E,1)/r! |
Ω |
0.20347073140899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31920bu1 127680cm1 5985n1 9975l1 |
Quadratic twists by: -4 8 -3 5 |