Atkin-Lehner |
3- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325cs |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-388141378875 = -1 · 39 · 53 · 193 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- 1 3 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,195,29956] |
[a1,a2,a3,a4,a6] |
Generators |
[31:256:1] |
Generators of the group modulo torsion |
j |
8998912/4259439 |
j-invariant |
L |
3.9072492248563 |
L(r)(E,1)/r! |
Ω |
0.73911795896944 |
Real period |
R |
0.2202653169682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999709088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775o1 98325cn1 |
Quadratic twists by: -3 5 |