Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
9270q |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-10380026880 = -1 · 210 · 39 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 2 2 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,52,-4913] |
[a1,a2,a3,a4,a6] |
Generators |
[37:197:1] |
Generators of the group modulo torsion |
j |
804357/527360 |
j-invariant |
L |
6.8081285291263 |
L(r)(E,1)/r! |
Ω |
0.60021458930484 |
Real period |
R |
0.56714120669838 |
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 |
74160v1 9270e1 46350c1 |
Quadratic twists by: -4 -3 5 |