Atkin-Lehner |
2- 3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
105996a |
Isogeny class |
Conductor |
105996 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-5864793677335296 = -1 · 28 · 311 · 116 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 11- -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5915125,-5535278351] |
[a1,a2,a3,a4,a6] |
Generators |
[236776877:4534175646:79507] |
Generators of the group modulo torsion |
j |
-50468394519494656/12931731 |
j-invariant |
L |
7.3102449457144 |
L(r)(E,1)/r! |
Ω |
0.048403700442864 |
Real period |
R |
12.585547643408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
876a1 |
Quadratic twists by: -11 |