Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200ba |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-88373603357107200 = -1 · 210 · 311 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- -4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-768888,-260153532] |
[a1,a2,a3,a4,a6] |
Generators |
[1152:19602:1] |
Generators of the group modulo torsion |
j |
-1963692857508260740/3452093881137 |
j-invariant |
L |
6.1897025485517 |
L(r)(E,1)/r! |
Ω |
0.080604257871136 |
Real period |
R |
0.49864454748968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6600d1 52800em1 39600q1 13200p1 |
Quadratic twists by: -4 8 -3 5 |