Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760r |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-9278534707200 = -1 · 211 · 312 · 52 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 11- -6 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22323,1292078] |
[a1,a2,a3,a4,a6] |
j |
-823993734242/6214725 |
j-invariant |
L |
2.932914537527 |
L(r)(E,1)/r! |
Ω |
0.73322852143336 |
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 |
40920z1 |
Quadratic twists by: -3 |