Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9975l |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-2.1503778149588E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3134499,644658523] |
[a1,a2,a3,a4,a6] |
Generators |
[22126:1385433:8] |
Generators of the group modulo torsion |
j |
217975805967584185919/137624180157363375 |
j-invariant |
L |
6.096645316877 |
L(r)(E,1)/r! |
Ω |
0.09099487737242 |
Real period |
R |
2.7916614158788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29925x1 1995d1 69825j1 |
Quadratic twists by: -3 5 -7 |