Atkin-Lehner |
3+ 5+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
99975c |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
-214460316826171875 = -1 · 312 · 510 · 312 · 43 |
Discriminant |
Eigenvalues |
2 3+ 5+ -4 3 7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-343958,-80662807] |
[a1,a2,a3,a4,a6] |
j |
-460830458982400/21960736443 |
j-invariant |
L |
3.5386676310735 |
L(r)(E,1)/r! |
Ω |
0.098296301180814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99975p1 |
Quadratic twists by: 5 |