Atkin-Lehner |
3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325ci |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
848640 |
Modular degree for the optimal curve |
Δ |
11757135673125 = 316 · 54 · 19 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-459525,119897856] |
[a1,a2,a3,a4,a6] |
j |
23552857127219200/25804413 |
j-invariant |
L |
1.2042400724603 |
L(r)(E,1)/r! |
Ω |
0.60212000380492 |
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 |
32775bh1 98325bc1 |
Quadratic twists by: -3 5 |