Atkin-Lehner |
5- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
115885l |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1456128 |
Modular degree for the optimal curve |
Δ |
194083705641834085 = 5 · 714 · 113 · 43 |
Discriminant |
Eigenvalues |
-2 -1 5- 7- 11+ -3 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-159070,12178648] |
[a1,a2,a3,a4,a6] |
j |
3783581083316224/1649684278165 |
j-invariant |
L |
0.57350848920804 |
L(r)(E,1)/r! |
Ω |
0.28675467449026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16555c1 |
Quadratic twists by: -7 |