Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99705q |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
459264 |
Modular degree for the optimal curve |
Δ |
-118941129819315 = -1 · 34 · 5 · 176 · 233 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 -2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,8574,-423709] |
[a1,a2,a3,a4,a6] |
Generators |
[330:341:8] |
Generators of the group modulo torsion |
j |
2887553024/4927635 |
j-invariant |
L |
12.03808538066 |
L(r)(E,1)/r! |
Ω |
0.30996039916012 |
Real period |
R |
3.236457888165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
345e1 |
Quadratic twists by: 17 |