Atkin-Lehner |
5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4655q |
Isogeny class |
Conductor |
4655 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-4696151014625 = -1 · 53 · 711 · 19 |
Discriminant |
Eigenvalues |
-1 1 5- 7- 4 0 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3135,-79150] |
[a1,a2,a3,a4,a6] |
Generators |
[25:110:1] |
Generators of the group modulo torsion |
j |
28962726911/39916625 |
j-invariant |
L |
3.0302771897056 |
L(r)(E,1)/r! |
Ω |
0.41069858032099 |
Real period |
R |
1.2297247238828 |
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 |
74480cv1 41895y1 23275k1 665a1 |
Quadratic twists by: -4 -3 5 -7 |