Atkin-Lehner |
2+ 3+ 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39606d |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-1399200768 = -1 · 210 · 32 · 7 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-191,1989] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:463:8] [5:-37:1] |
Generators of the group modulo torsion |
j |
-776911912057/1399200768 |
j-invariant |
L |
5.1971138069367 |
L(r)(E,1)/r! |
Ω |
1.3566006203019 |
Real period |
R |
1.9154914604786 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118818bo1 |
Quadratic twists by: -3 |