Atkin-Lehner |
2- 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
98900n |
Isogeny class |
Conductor |
98900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1004544 |
Modular degree for the optimal curve |
Δ |
-4153027343750000 = -1 · 24 · 514 · 23 · 432 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 6 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32675,-2108375] |
[a1,a2,a3,a4,a6] |
j |
15432294134016/16612109375 |
j-invariant |
L |
0.9489140013372 |
L(r)(E,1)/r! |
Ω |
0.23722853971299 |
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 |
19780a1 |
Quadratic twists by: 5 |