Atkin-Lehner |
2- 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
3782c |
Isogeny class |
Conductor |
3782 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1568 |
Modular degree for the optimal curve |
Δ |
-960446464 = -1 · 214 · 312 · 61 |
Discriminant |
Eigenvalues |
2- -2 -1 1 3 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,149,1329] |
[a1,a2,a3,a4,a6] |
Generators |
[22:113:1] |
Generators of the group modulo torsion |
j |
365679263951/960446464 |
j-invariant |
L |
3.7044676185187 |
L(r)(E,1)/r! |
Ω |
1.0974021019589 |
Real period |
R |
0.12055965148138 |
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 |
30256j1 121024b1 34038d1 94550d1 |
Quadratic twists by: -4 8 -3 5 |