Atkin-Lehner |
2- 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
112140h |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
203721149520 = 24 · 38 · 5 · 72 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6348,193457] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:623:1] |
Generators of the group modulo torsion |
j |
2425420005376/17465805 |
j-invariant |
L |
5.9759082430761 |
L(r)(E,1)/r! |
Ω |
1.0079751067399 |
Real period |
R |
0.98810446863909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37380f1 |
Quadratic twists by: -3 |