Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850dz |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-134120448000000 = -1 · 216 · 35 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 4 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6763,-599719] |
[a1,a2,a3,a4,a6] |
Generators |
[115:342:1] |
Generators of the group modulo torsion |
j |
-44681709625/175177728 |
j-invariant |
L |
9.1303730500534 |
L(r)(E,1)/r! |
Ω |
0.24042462725473 |
Real period |
R |
1.1867509623815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3234l1 80850fl1 |
Quadratic twists by: 5 -7 |