Atkin-Lehner |
3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975f |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4.8500127001909E+19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11- 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,776417,206935068] |
[a1,a2,a3,a4,a6] |
Generators |
[522:-27463:1] [1343262:824798865:54872] |
Generators of the group modulo torsion |
j |
15454208000/14480427 |
j-invariant |
L |
8.5159937274775 |
L(r)(E,1)/r! |
Ω |
0.13162017244738 |
Real period |
R |
16.175320188747 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999964067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4719l2 117975m2 |
Quadratic twists by: 5 -11 |