Atkin-Lehner |
3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175bt |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
11105280 |
Modular degree for the optimal curve |
Δ |
-5.2263758745561E+20 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 11- 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26813458,-53461598381] |
[a1,a2,a3,a4,a6] |
j |
-1091571450927090348032/267590444777271 |
j-invariant |
L |
9.5536088643354 |
L(r)(E,1)/r! |
Ω |
0.033172252632315 |
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 |
98175n1 |
Quadratic twists by: 5 |