Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550ht |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2136960 |
Modular degree for the optimal curve |
Δ |
-296842213992187500 = -1 · 22 · 3 · 59 · 78 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -5 13- 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-588638,-176038969] |
[a1,a2,a3,a4,a6] |
j |
-2003338253/26364 |
j-invariant |
L |
3.1000586659951 |
L(r)(E,1)/r! |
Ω |
0.086112735013051 |
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 |
95550ev1 95550kz1 |
Quadratic twists by: 5 -7 |