Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
118944i |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-10925482176 = -1 · 26 · 310 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,519,-2140] |
[a1,a2,a3,a4,a6] |
Generators |
[11:70:1] |
Generators of the group modulo torsion |
j |
331373888/234171 |
j-invariant |
L |
5.8589187009682 |
L(r)(E,1)/r! |
Ω |
0.72131629216211 |
Real period |
R |
2.0306343939282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944v1 39648h1 |
Quadratic twists by: -4 -3 |