Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080bu |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
212992 |
Modular degree for the optimal curve |
Δ |
-918190080000 = -1 · 214 · 37 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 3 4 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2928,76448] |
[a1,a2,a3,a4,a6] |
Generators |
[49:225:1] |
Generators of the group modulo torsion |
j |
-232428544/76875 |
j-invariant |
L |
4.6657880989412 |
L(r)(E,1)/r! |
Ω |
0.83510191521292 |
Real period |
R |
1.3967720642178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080ev1 14760k1 39360o1 |
Quadratic twists by: -4 8 -3 |