Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9310f |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-65034161281250000 = -1 · 24 · 59 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-270163,55401406] |
[a1,a2,a3,a4,a6] |
Generators |
[347:1688:1] |
Generators of the group modulo torsion |
j |
-378281142378601/11281250000 |
j-invariant |
L |
3.9073876569868 |
L(r)(E,1)/r! |
Ω |
0.34740452880316 |
Real period |
R |
0.93728092493211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74480ca1 83790dn1 46550bt1 9310a1 |
Quadratic twists by: -4 -3 5 -7 |