Atkin-Lehner |
3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9537f |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-6133021944291 = -1 · 32 · 119 · 172 |
Discriminant |
Eigenvalues |
0 3+ -3 -2 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1213,117632] |
[a1,a2,a3,a4,a6] |
Generators |
[-3820:-28316:125] [2:346:1] |
Generators of the group modulo torsion |
j |
682417553408/21221529219 |
j-invariant |
L |
3.6907789583724 |
L(r)(E,1)/r! |
Ω |
0.5689242690098 |
Real period |
R |
0.36040521846968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28611g2 104907i2 9537k2 |
Quadratic twists by: -3 -11 17 |