Atkin-Lehner |
3+ 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24633a |
Isogeny class |
Conductor |
24633 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
-1256283 = -1 · 33 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
0 3+ -4 7+ -3 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,56] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:8:1] [0:7:1] |
Generators of the group modulo torsion |
j |
-7077888/46529 |
j-invariant |
L |
4.9389877088299 |
L(r)(E,1)/r! |
Ω |
2.3466857954098 |
Real period |
R |
0.52616627655191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24633b1 |
Quadratic twists by: -3 |