Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4650a |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
900937500 = 22 · 3 · 57 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7688000,-8208007500] |
[a1,a2,a3,a4,a6] |
Generators |
[5041355:171168535:1331] |
Generators of the group modulo torsion |
j |
3216206300355197383681/57660 |
j-invariant |
L |
2.1358181581074 |
L(r)(E,1)/r! |
Ω |
0.090666364860678 |
Real period |
R |
11.778448167572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37200cz6 13950cf5 930o5 |
Quadratic twists by: -4 -3 5 |