Atkin-Lehner |
5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10115h |
Isogeny class |
Conductor |
10115 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2864160 |
Modular degree for the optimal curve |
Δ |
1.2207978375066E+26 |
Discriminant |
Eigenvalues |
1 1 5- 7+ -2 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-146372293,426603684733] |
[a1,a2,a3,a4,a6] |
j |
172032746578729129/60555631504375 |
j-invariant |
L |
1.9440641916705 |
L(r)(E,1)/r! |
Ω |
0.054001783101957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91035k1 50575p1 70805k1 10115e1 |
Quadratic twists by: -3 5 -7 17 |