Atkin-Lehner |
3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22785h |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
1025325 = 33 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 1 2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-380,2981] |
[a1,a2,a3,a4,a6] |
Generators |
[90:11:8] |
Generators of the group modulo torsion |
j |
124171177984/20925 |
j-invariant |
L |
9.6121821074092 |
L(r)(E,1)/r! |
Ω |
2.6834841665702 |
Real period |
R |
1.7909891601288 |
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 |
68355p1 113925cc1 22785k1 |
Quadratic twists by: -3 5 -7 |