Atkin-Lehner |
7+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
9499b |
Isogeny class |
Conductor |
9499 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
-663544806521719339 = -1 · 79 · 23 · 595 |
Discriminant |
Eigenvalues |
-2 -2 3 7+ 3 1 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9954,-39196806] |
[a1,a2,a3,a4,a6] |
Generators |
[2046:92246:1] |
Generators of the group modulo torsion |
j |
-109083798071898112/663544806521719339 |
j-invariant |
L |
1.8500193308482 |
L(r)(E,1)/r! |
Ω |
0.13060948354655 |
Real period |
R |
2.8329019924329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85491g1 66493d1 |
Quadratic twists by: -3 -7 |