Atkin-Lehner |
3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325c |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-93122317906171875 = -1 · 33 · 57 · 193 · 235 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 4 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,101325,-7838719] |
[a1,a2,a3,a4,a6] |
j |
272702901768192/220734383185 |
j-invariant |
L |
7.5080154231553 |
L(r)(E,1)/r! |
Ω |
0.18770038664997 |
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 |
98325b1 19665g1 |
Quadratic twists by: -3 5 |