Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
112554z |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-6488861659555332096 = -1 · 215 · 38 · 138 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 4 -3 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1775039,-918018201] |
[a1,a2,a3,a4,a6] |
j |
-1040094583177/10911744 |
j-invariant |
L |
3.9214547332216 |
L(r)(E,1)/r! |
Ω |
0.065357589601906 |
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 |
37518e1 112554c1 |
Quadratic twists by: -3 13 |