Atkin-Lehner |
2- 5+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
97850q |
Isogeny class |
Conductor |
97850 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-594928000000 = -1 · 210 · 56 · 192 · 103 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5013,-141983] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1159:1] |
Generators of the group modulo torsion |
j |
-891666015625/38075392 |
j-invariant |
L |
8.2675008475171 |
L(r)(E,1)/r! |
Ω |
0.28298335598031 |
Real period |
R |
2.9215502163736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3914e1 |
Quadratic twists by: 5 |