Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488iw |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-27829165056 = -1 · 210 · 3 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2417,45639] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:147:1] |
Generators of the group modulo torsion |
j |
-12967168/231 |
j-invariant |
L |
5.8706728911951 |
L(r)(E,1)/r! |
Ω |
1.1851842247729 |
Real period |
R |
2.4766921322782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488bh1 25872g1 14784bw1 |
Quadratic twists by: -4 8 -7 |