Atkin-Lehner |
2+ 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050c |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18544056562500 = 22 · 3 · 57 · 7 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56875,-5240375] |
[a1,a2,a3,a4,a6] |
Generators |
[320:2915:1] [-135:80:1] |
Generators of the group modulo torsion |
j |
1302206462247601/1186819620 |
j-invariant |
L |
5.4054536615374 |
L(r)(E,1)/r! |
Ω |
0.30916617324719 |
Real period |
R |
2.1854968821317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cq4 8610t3 |
Quadratic twists by: -3 5 |