Atkin-Lehner |
2- 3- 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518x |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-201082203205632 = -1 · 212 · 310 · 72 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8915,-753037] |
[a1,a2,a3,a4,a6] |
Generators |
[231:-3194:1] |
Generators of the group modulo torsion |
j |
-107476757403625/275832926208 |
j-invariant |
L |
9.5473510797383 |
L(r)(E,1)/r! |
Ω |
0.2285796621432 |
Real period |
R |
0.87016992570197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37506g1 |
Quadratic twists by: -3 |