Atkin-Lehner |
2+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114920i |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
923015625425920 = 210 · 5 · 139 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68107,-6683274] |
[a1,a2,a3,a4,a6] |
Generators |
[5015332980:-194260593987:3241792] |
Generators of the group modulo torsion |
j |
3217428/85 |
j-invariant |
L |
5.1597305734481 |
L(r)(E,1)/r! |
Ω |
0.29600690029436 |
Real period |
R |
17.431115891313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999802097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114920m1 |
Quadratic twists by: 13 |