Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600ch |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-496000000 = -1 · 210 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 -2 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-1063] |
[a1,a2,a3,a4,a6] |
Generators |
[340400:1404789:15625] |
Generators of the group modulo torsion |
j |
-256/31 |
j-invariant |
L |
7.1897454258172 |
L(r)(E,1)/r! |
Ω |
0.73442019720235 |
Real period |
R |
9.7896891360259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600m1 12400j1 1984k1 |
Quadratic twists by: -4 8 5 |