Atkin-Lehner |
5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98315f |
Isogeny class |
Conductor |
98315 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1235520 |
Modular degree for the optimal curve |
Δ |
-5231993083718721635 = -1 · 5 · 75 · 538 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 5 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-59925,110175196] |
[a1,a2,a3,a4,a6] |
j |
-1073741824/236054315 |
j-invariant |
L |
3.5512495321334 |
L(r)(E,1)/r! |
Ω |
0.19729164231493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1855a1 |
Quadratic twists by: 53 |