Atkin-Lehner |
3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
52185d |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-5415961349036611485 = -1 · 36 · 5 · 77 · 715 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 5 -4 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1428718,-667370507] |
[a1,a2,a3,a4,a6] |
j |
-2741419489343595481/46034911890765 |
j-invariant |
L |
2.2072416209183 |
L(r)(E,1)/r! |
Ω |
0.068976300691346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7455f1 |
Quadratic twists by: -7 |