Atkin-Lehner |
3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525be |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
277200 |
Modular degree for the optimal curve |
Δ |
-72933188671875 = -1 · 3 · 58 · 76 · 232 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 2 3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-138833,19961318] |
[a1,a2,a3,a4,a6] |
j |
-6439567360/1587 |
j-invariant |
L |
1.1979237382951 |
L(r)(E,1)/r! |
Ω |
0.59896186114615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525bp1 1725t1 |
Quadratic twists by: 5 -7 |