Atkin-Lehner |
2- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
114268b |
Isogeny class |
Conductor |
114268 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-122912145664 = -1 · 28 · 77 · 11 · 53 |
Discriminant |
Eigenvalues |
2- -2 3 7- 11+ 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-604,-18012] |
[a1,a2,a3,a4,a6] |
Generators |
[51:294:1] |
Generators of the group modulo torsion |
j |
-810448/4081 |
j-invariant |
L |
6.0118577555707 |
L(r)(E,1)/r! |
Ω |
0.43449828369375 |
Real period |
R |
2.3060535347731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998965074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16324d1 |
Quadratic twists by: -7 |