Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325be |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
1.1855384211649E+22 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 -2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13462500,-18276430469] |
[a1,a2,a3,a4,a6] |
Generators |
[-139484501041264770518993:1203813734078740407008737:75980807896147592563] |
Generators of the group modulo torsion |
j |
37902974156800000/1665283049757 |
j-invariant |
L |
5.8539634517789 |
L(r)(E,1)/r! |
Ω |
0.079030771365609 |
Real period |
R |
37.035975675206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775a1 98325bx1 |
Quadratic twists by: -3 5 |