Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
92120p |
Isogeny class |
Conductor |
92120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-144027596331422720 = -1 · 210 · 5 · 78 · 474 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 6 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1008763,390397798] |
[a1,a2,a3,a4,a6] |
Generators |
[686:4606:1] |
Generators of the group modulo torsion |
j |
-19231221457476/24398405 |
j-invariant |
L |
3.8386737018206 |
L(r)(E,1)/r! |
Ω |
0.32552941460471 |
Real period |
R |
0.49133728059102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92120t1 |
Quadratic twists by: -7 |