Atkin-Lehner |
5- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
117425j |
Isogeny class |
Conductor |
117425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-1.3765440719529E+19 |
Discriminant |
Eigenvalues |
0 0 5- 7- 11+ 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4174250,-3287433594] |
[a1,a2,a3,a4,a6] |
Generators |
[202179038110606500:1453951812608826534:84853372682807] |
Generators of the group modulo torsion |
j |
-4118404887464214528/7047905648399 |
j-invariant |
L |
5.5282124620997 |
L(r)(E,1)/r! |
Ω |
0.052805650905108 |
Real period |
R |
26.172447301303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117425h1 |
Quadratic twists by: 5 |