Atkin-Lehner |
7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
3479f |
Isogeny class |
Conductor |
3479 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-140390198753 = -1 · 711 · 71 |
Discriminant |
Eigenvalues |
1 1 0 7- 1 3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1199,8425] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:85:1] |
Generators of the group modulo torsion |
j |
1622234375/1193297 |
j-invariant |
L |
4.8103462828408 |
L(r)(E,1)/r! |
Ω |
0.65930412876486 |
Real period |
R |
3.6480480501863 |
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 |
55664n1 31311b1 86975o1 497a1 |
Quadratic twists by: -4 -3 5 -7 |