Atkin-Lehner |
5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
70135g |
Isogeny class |
Conductor |
70135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
77904 |
Modular degree for the optimal curve |
Δ |
-6281080195 = -1 · 5 · 133 · 833 |
Discriminant |
Eigenvalues |
2 -2 5+ 4 0 13- -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,334,-2895] |
[a1,a2,a3,a4,a6] |
Generators |
[1348:7521:64] |
Generators of the group modulo torsion |
j |
1869959168/2858935 |
j-invariant |
L |
8.8023482785804 |
L(r)(E,1)/r! |
Ω |
0.70852807178836 |
Real period |
R |
2.0705715197439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70135l1 |
Quadratic twists by: 13 |