Atkin-Lehner |
2- 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13804c |
Isogeny class |
Conductor |
13804 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3528 |
Modular degree for the optimal curve |
Δ |
-15957424 = -1 · 24 · 7 · 173 · 29 |
Discriminant |
Eigenvalues |
2- -2 3 7- -3 -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51,-116] |
[a1,a2,a3,a4,a6] |
j |
899022848/997339 |
j-invariant |
L |
1.1898460833491 |
L(r)(E,1)/r! |
Ω |
1.1898460833491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55216k1 124236u1 96628c1 |
Quadratic twists by: -4 -3 -7 |