Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405k |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-2482910952435 = -1 · 314 · 5 · 473 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 2 -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11703,493159] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:6341:8] |
Generators of the group modulo torsion |
j |
-2342039552/32805 |
j-invariant |
L |
9.9857485730514 |
L(r)(E,1)/r! |
Ω |
0.81652469512607 |
Real period |
R |
3.0573933102626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33135g1 99405t1 |
Quadratic twists by: -3 -47 |