Atkin-Lehner |
2- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
8848b |
Isogeny class |
Conductor |
8848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
2319450112 = 222 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 0 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-355,1122] |
[a1,a2,a3,a4,a6] |
j |
1207949625/566272 |
j-invariant |
L |
1.3006330426175 |
L(r)(E,1)/r! |
Ω |
1.3006330426175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1106d1 35392m1 79632o1 61936k1 |
Quadratic twists by: -4 8 -3 -7 |