Atkin-Lehner |
2+ 3- 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
70290j |
Isogeny class |
Conductor |
70290 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-140913877500000000 = -1 · 28 · 38 · 510 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-448389,117081045] |
[a1,a2,a3,a4,a6] |
Generators |
[-6042:42621:8] [351:1512:1] |
Generators of the group modulo torsion |
j |
-13676078283962030929/193297500000000 |
j-invariant |
L |
7.3165547976763 |
L(r)(E,1)/r! |
Ω |
0.32792892903466 |
Real period |
R |
0.55778509837952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430h1 |
Quadratic twists by: -3 |