Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992cw |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-6254555049681898176 = -1 · 26 · 313 · 711 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -4 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-384474,-151320346] |
[a1,a2,a3,a4,a6] |
Generators |
[6674:83349:8] |
Generators of the group modulo torsion |
j |
-134715366791699968/134056821195171 |
j-invariant |
L |
5.0311686094915 |
L(r)(E,1)/r! |
Ω |
0.092158553172567 |
Real period |
R |
1.2407393426881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998634296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992ci1 62496bu1 41664v1 |
Quadratic twists by: -4 8 -3 |