Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070b |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-709637760 = -1 · 27 · 38 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -1 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-133,1357] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:46:1] |
Generators of the group modulo torsion |
j |
-1557701041/4199040 |
j-invariant |
L |
2.4825479910698 |
L(r)(E,1)/r! |
Ω |
1.4179178616323 |
Real period |
R |
0.87542024056733 |
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 |
40560ci1 15210bq1 25350cy1 5070r1 |
Quadratic twists by: -4 -3 5 13 |