Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235bg |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-6558605235 = -1 · 38 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ -3 13+ -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-507,-5873] |
[a1,a2,a3,a4,a6] |
Generators |
[338:1751:8] |
Generators of the group modulo torsion |
j |
-692224/315 |
j-invariant |
L |
12.142662427702 |
L(r)(E,1)/r! |
Ω |
0.49225070282515 |
Real period |
R |
2.0556365482675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745f1 53235w1 |
Quadratic twists by: -3 13 |