Atkin-Lehner |
2- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48314o |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-79577313004 = -1 · 22 · 79 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 3 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13558,611153] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1297:1] |
Generators of the group modulo torsion |
j |
-2342568667041/676396 |
j-invariant |
L |
8.9390195597872 |
L(r)(E,1)/r! |
Ω |
1.0603069514416 |
Real period |
R |
1.0538245019088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6902d1 |
Quadratic twists by: -7 |