Atkin-Lehner |
2- 7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
112336g |
Isogeny class |
Conductor |
112336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
14724104192 = 221 · 7 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 0 0 7+ -2 6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-635,1962] |
[a1,a2,a3,a4,a6] |
Generators |
[77:640:1] |
Generators of the group modulo torsion |
j |
6913292625/3594752 |
j-invariant |
L |
6.648749828779 |
L(r)(E,1)/r! |
Ω |
1.0980331058606 |
Real period |
R |
1.51378628154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14042g1 |
Quadratic twists by: -4 |