Atkin-Lehner |
2+ 3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79950z |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
141629026500 = 22 · 312 · 53 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2486,-44332] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:52:1] |
Generators of the group modulo torsion |
j |
13585196426381/1133032212 |
j-invariant |
L |
4.4557134915257 |
L(r)(E,1)/r! |
Ω |
0.67974067725208 |
Real period |
R |
0.54625163687572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79950br1 |
Quadratic twists by: 5 |