Atkin-Lehner |
2+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
61798c |
Isogeny class |
Conductor |
61798 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-1316050208 = -1 · 25 · 114 · 532 |
Discriminant |
Eigenvalues |
2+ 3 -2 4 11- -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,242,-1036] |
[a1,a2,a3,a4,a6] |
j |
556683327/468512 |
j-invariant |
L |
3.3724086983492 |
L(r)(E,1)/r! |
Ω |
0.84310217503944 |
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 |
61798j1 |
Quadratic twists by: 53 |