Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bp |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
-4667724075 = -1 · 3 · 52 · 76 · 232 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 2 -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5553,157469] |
[a1,a2,a3,a4,a6] |
Generators |
[346:65:8] |
Generators of the group modulo torsion |
j |
-6439567360/1587 |
j-invariant |
L |
6.2180084713574 |
L(r)(E,1)/r! |
Ω |
1.3393194374526 |
Real period |
R |
2.3213313785762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525be1 1725b1 |
Quadratic twists by: 5 -7 |