Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38080v |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
78400 |
Modular degree for the optimal curve |
Δ |
-2800046200000 = -1 · 26 · 55 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -6 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1735,-74975] |
[a1,a2,a3,a4,a6] |
Generators |
[40:245:1] |
Generators of the group modulo torsion |
j |
9019694698496/43750721875 |
j-invariant |
L |
3.5533209450629 |
L(r)(E,1)/r! |
Ω |
0.40589844405556 |
Real period |
R |
0.25012033689713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38080bm1 595b1 |
Quadratic twists by: -4 8 |