Atkin-Lehner |
2+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30680c |
Isogeny class |
Conductor |
30680 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-196352000 = -1 · 211 · 53 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ -3 5+ 4 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77,622] |
[a1,a2,a3,a4,a6] |
Generators |
[2:28:1] |
Generators of the group modulo torsion |
j |
24652782/95875 |
j-invariant |
L |
3.393156738534 |
L(r)(E,1)/r! |
Ω |
1.2740470792882 |
Real period |
R |
2.6632899158089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61360c1 |
Quadratic twists by: -4 |