Atkin-Lehner |
7- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
65611c |
Isogeny class |
Conductor |
65611 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
7719068539 = 78 · 13 · 103 |
Discriminant |
Eigenvalues |
-1 -1 1 7- 0 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22835,1318638] |
[a1,a2,a3,a4,a6] |
Generators |
[76:133:1] |
Generators of the group modulo torsion |
j |
11192824869409/65611 |
j-invariant |
L |
2.6042035623831 |
L(r)(E,1)/r! |
Ω |
1.1716246148359 |
Real period |
R |
0.55568215473155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9373c1 |
Quadratic twists by: -7 |