Atkin-Lehner |
2- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800co |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1459200 |
Modular degree for the optimal curve |
Δ |
-4120228736000000000 = -1 · 216 · 59 · 13 · 195 |
Discriminant |
Eigenvalues |
2- -1 5- 3 -2 13+ -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-231208,106700912] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:11552:1] [292:8000:1] |
Generators of the group modulo torsion |
j |
-170861484149/515028592 |
j-invariant |
L |
9.9676227075218 |
L(r)(E,1)/r! |
Ω |
0.217053858502 |
Real period |
R |
1.1480586865425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350f1 98800dc1 |
Quadratic twists by: -4 5 |