Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bp |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-1.0089461839188E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3094156292608,-2094891514680758194] |
[a1,a2,a3,a4,a6] |
Generators |
[177570501783360192556231660902713407522164500734491591760738696:-120274770141828892878902336267775572733021343582909099812623120998:78971776050326753643093664943451517777456517728298952673] |
Generators of the group modulo torsion |
j |
-23763856998804796987128199384369/7318708992000 |
j-invariant |
L |
5.2378882107011 |
L(r)(E,1)/r! |
Ω |
0.0017998404053529 |
Real period |
R |
97.006530785045 |
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 |
106470ee2 35490df2 |
Quadratic twists by: -3 13 |