Atkin-Lehner |
2+ 3+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350y |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-611867925000000 = -1 · 26 · 37 · 58 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 -4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10450,-1263500] |
[a1,a2,a3,a4,a6] |
j |
-323130150985/1566381888 |
j-invariant |
L |
0.85387609090256 |
L(r)(E,1)/r! |
Ω |
0.21346896415343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350cs1 |
Quadratic twists by: 5 |