Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840bg |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-63545591444336640 = -1 · 212 · 35 · 5 · 176 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-602256,180504576] |
[a1,a2,a3,a4,a6] |
Generators |
[760:12696:1] |
Generators of the group modulo torsion |
j |
-5898042414700654609/15514060411215 |
j-invariant |
L |
4.8606514645474 |
L(r)(E,1)/r! |
Ω |
0.35044548379219 |
Real period |
R |
3.4674804577071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5865c1 |
Quadratic twists by: -4 |