Atkin-Lehner |
2+ 3+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658v |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9011200 |
Modular degree for the optimal curve |
Δ |
-1.0258477697641E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4332730,3421841172] |
[a1,a2,a3,a4,a6] |
Generators |
[-1874879:204279232:4913] |
Generators of the group modulo torsion |
j |
26224928580457461298625/29908098243851452416 |
j-invariant |
L |
4.7408279368772 |
L(r)(E,1)/r! |
Ω |
0.085678835828976 |
Real period |
R |
6.9165679136732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119658bo1 |
Quadratic twists by: -7 |