Atkin-Lehner |
2- 3- 7+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124614n |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-1617197874012 = -1 · 22 · 310 · 7 · 232 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5828,-180381] |
[a1,a2,a3,a4,a6] |
Generators |
[4768450885:18445629627:48627125] |
Generators of the group modulo torsion |
j |
-30025133704441/2218378428 |
j-invariant |
L |
14.958633734558 |
L(r)(E,1)/r! |
Ω |
0.27205357910469 |
Real period |
R |
13.746036438175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41538c1 |
Quadratic twists by: -3 |