Atkin-Lehner |
2+ 3- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
49296k |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-19965665581056 = -1 · 211 · 32 · 133 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -1 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4480,242516] |
[a1,a2,a3,a4,a6] |
Generators |
[4:474:1] |
Generators of the group modulo torsion |
j |
-4856515050242/9748860147 |
j-invariant |
L |
6.9727352788884 |
L(r)(E,1)/r! |
Ω |
0.60922140477886 |
Real period |
R |
0.95377685137365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24648k1 |
Quadratic twists by: -4 |