Atkin-Lehner |
3- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
9243c |
Isogeny class |
Conductor |
9243 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4790822517 = 310 · 13 · 792 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-491,-2410] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:46:1] |
Generators of the group modulo torsion |
j |
17923019113/6571773 |
j-invariant |
L |
1.8781551638541 |
L(r)(E,1)/r! |
Ω |
1.0455767252667 |
Real period |
R |
0.89814315796629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3081b2 120159l2 |
Quadratic twists by: -3 13 |