Atkin-Lehner |
3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
5325g |
Isogeny class |
Conductor |
5325 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-21709119666796875 = -1 · 37 · 58 · 714 |
Discriminant |
Eigenvalues |
-2 3+ 5- 1 -6 -3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4458,7091318] |
[a1,a2,a3,a4,a6] |
Generators |
[67:2662:1] |
Generators of the group modulo torsion |
j |
-25088880640/55575346347 |
j-invariant |
L |
1.4455210385744 |
L(r)(E,1)/r! |
Ω |
0.30726023163569 |
Real period |
R |
0.39204581050597 |
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 |
85200dn1 15975s1 5325p1 |
Quadratic twists by: -4 -3 5 |