Atkin-Lehner |
2- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
116600v |
Isogeny class |
Conductor |
116600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
220160 |
Modular degree for the optimal curve |
Δ |
-291500000000 = -1 · 28 · 59 · 11 · 53 |
Discriminant |
Eigenvalues |
2- -3 5- -3 11- 5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1625,6250] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-250:1] |
Generators of the group modulo torsion |
j |
949104/583 |
j-invariant |
L |
3.6537310525247 |
L(r)(E,1)/r! |
Ω |
0.60031862754223 |
Real period |
R |
0.76078996053775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999257233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116600j1 |
Quadratic twists by: 5 |