Atkin-Lehner |
2- 3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124020i |
Isogeny class |
Conductor |
124020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
670464 |
Modular degree for the optimal curve |
Δ |
-15847311119328000 = -1 · 28 · 39 · 53 · 132 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73128,9727252] |
[a1,a2,a3,a4,a6] |
j |
-231743363670016/84915718875 |
j-invariant |
L |
1.4767861933491 |
L(r)(E,1)/r! |
Ω |
0.36919641450663 |
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 |
41340f1 |
Quadratic twists by: -3 |