Atkin-Lehner |
2+ 3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954m |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-380129721812921304 = -1 · 23 · 311 · 79 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -4 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,158637,17051301] |
[a1,a2,a3,a4,a6] |
j |
3752707016986199/3231049323096 |
j-invariant |
L |
0.78200436182571 |
L(r)(E,1)/r! |
Ω |
0.19550115719525 |
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 |
16422j1 |
Quadratic twists by: -7 |