Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3465h |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-12383747238121875 = -1 · 311 · 55 · 75 · 113 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-80463,-10287981] |
[a1,a2,a3,a4,a6] |
Generators |
[3778:60413:8] |
Generators of the group modulo torsion |
j |
-79028701534867456/16987307596875 |
j-invariant |
L |
6.1888498734106 |
L(r)(E,1)/r! |
Ω |
0.14012175139753 |
Real period |
R |
4.4167659993433 |
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 |
55440dg1 1155n1 17325k1 24255bo1 |
Quadratic twists by: -4 -3 5 -7 |