Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235w |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
778752 |
Modular degree for the optimal curve |
Δ |
-31657134775745115 = -1 · 38 · 5 · 7 · 1310 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 3 13+ -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-85683,-12902432] |
[a1,a2,a3,a4,a6] |
Generators |
[367:2254:1] |
Generators of the group modulo torsion |
j |
-692224/315 |
j-invariant |
L |
2.543774179477 |
L(r)(E,1)/r! |
Ω |
0.13652578072456 |
Real period |
R |
4.6580473041816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745l1 53235bg1 |
Quadratic twists by: -3 13 |