Atkin-Lehner |
2+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
42976a |
Isogeny class |
Conductor |
42976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
94464 |
Modular degree for the optimal curve |
Δ |
583631958016 = 212 · 172 · 793 |
Discriminant |
Eigenvalues |
2+ -3 3 1 2 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4876,-125792] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:68:1] |
Generators of the group modulo torsion |
j |
3130075801152/142488271 |
j-invariant |
L |
4.8004652642961 |
L(r)(E,1)/r! |
Ω |
0.57293529612362 |
Real period |
R |
1.0473401832568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42976b1 85952c1 |
Quadratic twists by: -4 8 |