Atkin-Lehner |
2+ 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9270b |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-556200000 = -1 · 26 · 33 · 55 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -6 -6 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2709,54965] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:307:1] [-14:307:1] |
Generators of the group modulo torsion |
j |
-81447383542923/20600000 |
j-invariant |
L |
4.2773531199739 |
L(r)(E,1)/r! |
Ω |
1.5998215249419 |
Real period |
R |
0.13368219683535 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74160bd1 9270n1 46350bn1 |
Quadratic twists by: -4 -3 5 |