Atkin-Lehner |
2+ 3+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111936b |
Isogeny class |
Conductor |
111936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
315211776 = 214 · 3 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3377,-74415] |
[a1,a2,a3,a4,a6] |
Generators |
[4346696:128930765:4913] |
Generators of the group modulo torsion |
j |
260031254992/19239 |
j-invariant |
L |
7.8211532182015 |
L(r)(E,1)/r! |
Ω |
0.62626479824661 |
Real period |
R |
12.4885723042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111936j2 6996a2 |
Quadratic twists by: -4 8 |