Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60760u |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-58353904000000 = -1 · 210 · 56 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15827,-849954] |
[a1,a2,a3,a4,a6] |
j |
-3639412836/484375 |
j-invariant |
L |
2.5350880561843 |
L(r)(E,1)/r! |
Ω |
0.21125733771244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121520y1 1240e1 |
Quadratic twists by: -4 -7 |