Atkin-Lehner |
2- 5- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
114700u |
Isogeny class |
Conductor |
114700 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
77112 |
Modular degree for the optimal curve |
Δ |
-11022670000 = -1 · 24 · 54 · 313 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- -1 -6 -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233,-5312] |
[a1,a2,a3,a4,a6] |
Generators |
[23:45:1] |
Generators of the group modulo torsion |
j |
-140492800/1102267 |
j-invariant |
L |
3.3102154665269 |
L(r)(E,1)/r! |
Ω |
0.53868652036254 |
Real period |
R |
2.0483251997699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998284763 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
114700j1 |
Quadratic twists by: 5 |