Atkin-Lehner |
2+ 3+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63024c |
Isogeny class |
Conductor |
63024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-2215419648 = -1 · 28 · 3 · 134 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124,2368] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:52:1] [33:182:1] |
Generators of the group modulo torsion |
j |
-830321872/8653983 |
j-invariant |
L |
7.5005622948474 |
L(r)(E,1)/r! |
Ω |
1.2453345044259 |
Real period |
R |
3.0114648988646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31512e1 |
Quadratic twists by: -4 |