Atkin-Lehner |
2+ 3- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442r |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
502656 |
Modular degree for the optimal curve |
Δ |
-381819899136 = -1 · 28 · 3 · 136 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-250800,-48364418] |
[a1,a2,a3,a4,a6] |
Generators |
[2286944461586203:24489049062226121:3586495139443] |
Generators of the group modulo torsion |
j |
-361446235206337/79104 |
j-invariant |
L |
5.2732107571629 |
L(r)(E,1)/r! |
Ω |
0.10666891502221 |
Real period |
R |
24.717654417245 |
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 |
618g1 |
Quadratic twists by: 13 |