Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730be |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26966016 |
Modular degree for the optimal curve |
Δ |
-7340267859451914240 = -1 · 211 · 36 · 5 · 710 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1109198424,14218675925542] |
[a1,a2,a3,a4,a6] |
Generators |
[19228:-9526:1] |
Generators of the group modulo torsion |
j |
-534282615025863363501961/25985525760 |
j-invariant |
L |
4.2455828071874 |
L(r)(E,1)/r! |
Ω |
0.12763220897995 |
Real period |
R |
2.7720163272271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730m1 |
Quadratic twists by: -7 |