Atkin-Lehner |
3+ 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
58065f |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-155560489875 = -1 · 38 · 53 · 74 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 5 2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1298,-5501] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2341:1] |
Generators of the group modulo torsion |
j |
100608050039/64789875 |
j-invariant |
L |
7.0827521073103 |
L(r)(E,1)/r! |
Ω |
0.58692686783807 |
Real period |
R |
2.0112534444207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58065o1 |
Quadratic twists by: -7 |