Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960bk |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
113755085840240640 = 212 · 323 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 1 -1 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139512,11788144] |
[a1,a2,a3,a4,a6] |
j |
100570574232064/38096348085 |
j-invariant |
L |
2.4297707154731 |
L(r)(E,1)/r! |
Ω |
0.30372134458819 |
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 |
84960bo1 28320l1 |
Quadratic twists by: -4 -3 |