Atkin-Lehner |
2+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
113216a |
Isogeny class |
Conductor |
113216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-6906176 = -1 · 26 · 29 · 612 |
Discriminant |
Eigenvalues |
2+ 3 -3 -4 -5 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41,-76] |
[a1,a2,a3,a4,a6] |
Generators |
[84:244:27] |
Generators of the group modulo torsion |
j |
119095488/107909 |
j-invariant |
L |
5.7767175288622 |
L(r)(E,1)/r! |
Ω |
1.2967590112014 |
Real period |
R |
2.2273674025987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113216b1 56608a1 |
Quadratic twists by: -4 8 |