Atkin-Lehner |
2+ 3+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
92862f |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
117090532146373632 = 210 · 39 · 76 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-708657,229202333] |
[a1,a2,a3,a4,a6] |
Generators |
[-398:21367:1] |
Generators of the group modulo torsion |
j |
1999590240906007875/5948815330304 |
j-invariant |
L |
3.9183710407215 |
L(r)(E,1)/r! |
Ω |
0.3332570187695 |
Real period |
R |
0.97981708157726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862bf1 |
Quadratic twists by: -3 |