Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8330g |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-55512035933480000 = -1 · 26 · 54 · 710 · 173 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53154588,149140215568] |
[a1,a2,a3,a4,a6] |
Generators |
[4224:-412:1] |
Generators of the group modulo torsion |
j |
-58798411541899527001/196520000 |
j-invariant |
L |
1.8902060194718 |
L(r)(E,1)/r! |
Ω |
0.23514685071919 |
Real period |
R |
0.66986722470473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640bn2 74970dn2 41650bs2 8330i2 |
Quadratic twists by: -4 -3 5 -7 |