Atkin-Lehner |
2+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
97600bd |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-249856000 = -1 · 215 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -2 -5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-993,11743] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:140:1] [7:72:1] |
Generators of the group modulo torsion |
j |
-26463592/61 |
j-invariant |
L |
6.9909080490637 |
L(r)(E,1)/r! |
Ω |
1.7568373032978 |
Real period |
R |
0.4974071898689 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600y1 48800o1 97600z1 |
Quadratic twists by: -4 8 5 |