Atkin-Lehner |
2+ 3+ 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498m |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-193841315976 = -1 · 23 · 3 · 76 · 11 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,844,19320] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:29:1] [-5:125:1] |
Generators of the group modulo torsion |
j |
66366175781303/193841315976 |
j-invariant |
L |
5.1754868558037 |
L(r)(E,1)/r! |
Ω |
0.70861425077723 |
Real period |
R |
2.4345577066444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494cl2 |
Quadratic twists by: -3 |