Atkin-Lehner |
2+ 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730m |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3852288 |
Modular degree for the optimal curve |
Δ |
-62391247349760 = -1 · 211 · 36 · 5 · 74 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -5 -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22636702,-41463567116] |
[a1,a2,a3,a4,a6] |
Generators |
[61795:15283678:1] |
Generators of the group modulo torsion |
j |
-534282615025863363501961/25985525760 |
j-invariant |
L |
3.3762290705656 |
L(r)(E,1)/r! |
Ω |
0.034607184484938 |
Real period |
R |
8.1298847986002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999815421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730be1 |
Quadratic twists by: -7 |