Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200ch |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
1190265394500000000 = 28 · 35 · 59 · 73 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3444708,2459094588] |
[a1,a2,a3,a4,a6] |
j |
9040887701683472/2380530789 |
j-invariant |
L |
5.344091304415 |
L(r)(E,1)/r! |
Ω |
0.26720455556425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600bz1 109200bi1 |
Quadratic twists by: -4 5 |