Atkin-Lehner |
2+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192i |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-6316137707264 = -1 · 28 · 73 · 114 · 173 |
Discriminant |
Eigenvalues |
2+ -3 3 7+ 11- 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3751,-149798] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1496:1] |
Generators of the group modulo torsion |
j |
-1557235152/1685159 |
j-invariant |
L |
5.4119776173102 |
L(r)(E,1)/r! |
Ω |
0.29253642472379 |
Real period |
R |
1.0277880029535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998478664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115192bh1 |
Quadratic twists by: -11 |