Atkin-Lehner |
2- 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9270r |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-2278195200 = -1 · 215 · 33 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -3 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,283,1309] |
[a1,a2,a3,a4,a6] |
Generators |
[7:56:1] |
Generators of the group modulo torsion |
j |
93144487437/84377600 |
j-invariant |
L |
6.7502758426209 |
L(r)(E,1)/r! |
Ω |
0.95188922212491 |
Real period |
R |
0.11819085116425 |
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 |
74160bc1 9270a1 46350d1 |
Quadratic twists by: -4 -3 5 |