Atkin-Lehner |
3- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7839c |
Isogeny class |
Conductor |
7839 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-19782217456837173 = -1 · 311 · 135 · 673 |
Discriminant |
Eigenvalues |
-1 3- -2 2 5 13- -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,64939,-2301150] |
[a1,a2,a3,a4,a6] |
Generators |
[308:6690:1] |
Generators of the group modulo torsion |
j |
41545045924015607/27136100763837 |
j-invariant |
L |
2.6568214403253 |
L(r)(E,1)/r! |
Ω |
0.21981638613194 |
Real period |
R |
0.6043274314251 |
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 |
125424bb1 2613b1 101907i1 |
Quadratic twists by: -4 -3 13 |