Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
117978k |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
88653312 |
Modular degree for the optimal curve |
Δ |
-2.4203968681335E+28 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 3 0 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-913599219,12999838175758] |
[a1,a2,a3,a4,a6] |
j |
-1354515295526614729/388758256287744 |
j-invariant |
L |
2.3701032524869 |
L(r)(E,1)/r! |
Ω |
0.035910654770718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117978p1 |
Quadratic twists by: 53 |