Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290o |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-335666327357135390 = -1 · 2 · 5 · 76 · 1111 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11- -6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35218384,-80448529724] |
[a1,a2,a3,a4,a6] |
Generators |
[6542868606202154582:-4661127134849092359353:12908415787912] |
Generators of the group modulo torsion |
j |
-23178622194826561/1610510 |
j-invariant |
L |
3.4548352970481 |
L(r)(E,1)/r! |
Ω |
0.030986833785083 |
Real period |
R |
27.873413277797 |
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 |
1210g2 5390ba2 |
Quadratic twists by: -7 -11 |