Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464j |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
7630986355776 = 26 · 310 · 74 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8769,-286760] |
[a1,a2,a3,a4,a6] |
j |
1598329885888/163558521 |
j-invariant |
L |
0.99323109492971 |
L(r)(E,1)/r! |
Ω |
0.49661554766144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58464m1 116928du2 19488g1 |
Quadratic twists by: -4 8 -3 |