Atkin-Lehner |
3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525bl |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-25890647776875 = -1 · 37 · 54 · 77 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 5 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6942,-104182] |
[a1,a2,a3,a4,a6] |
j |
503091200/352107 |
j-invariant |
L |
1.5120082808005 |
L(r)(E,1)/r! |
Ω |
0.37800208284665 |
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 |
84525cc1 12075y1 |
Quadratic twists by: 5 -7 |