Atkin-Lehner |
2+ 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7670d |
Isogeny class |
Conductor |
7670 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2080 |
Modular degree for the optimal curve |
Δ |
-31416320 = -1 · 213 · 5 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 0 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33,276] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] |
Generators of the group modulo torsion |
j |
-3803721481/31416320 |
j-invariant |
L |
4.3025219387692 |
L(r)(E,1)/r! |
Ω |
1.7847743988002 |
Real period |
R |
2.410681115586 |
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 |
61360s1 69030bn1 38350q1 99710v1 |
Quadratic twists by: -4 -3 5 13 |