Atkin-Lehner |
2+ 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650k |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-17943187500000 = -1 · 25 · 33 · 59 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -7 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17367,908541] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-222:1] |
Generators of the group modulo torsion |
j |
-10985463567/340256 |
j-invariant |
L |
3.5433614243045 |
L(r)(E,1)/r! |
Ω |
0.68744375921706 |
Real period |
R |
1.2886004784547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650cr1 97650cu1 |
Quadratic twists by: -3 5 |