Atkin-Lehner |
2+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
48416i |
Isogeny class |
Conductor |
48416 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241152 |
Modular degree for the optimal curve |
Δ |
3768301814336 = 26 · 174 · 893 |
Discriminant |
Eigenvalues |
2+ -2 2 4 -4 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-235182,43820560] |
[a1,a2,a3,a4,a6] |
Generators |
[705:15130:1] |
Generators of the group modulo torsion |
j |
22478008065004948672/58879715849 |
j-invariant |
L |
4.9054140835531 |
L(r)(E,1)/r! |
Ω |
0.68180819485089 |
Real period |
R |
1.199118784578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48416g1 96832bd1 |
Quadratic twists by: -4 8 |