Atkin-Lehner |
2+ 3+ 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862d |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
278528 |
Modular degree for the optimal curve |
Δ |
16279513899264 = 28 · 33 · 74 · 114 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8118,205940] |
[a1,a2,a3,a4,a6] |
Generators |
[17:261:1] |
Generators of the group modulo torsion |
j |
2191478332294971/602944959232 |
j-invariant |
L |
3.5464929637398 |
L(r)(E,1)/r! |
Ω |
0.64905849513672 |
Real period |
R |
0.68300719270783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862bc1 |
Quadratic twists by: -3 |