Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450j |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8.8318014211155E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1826643675,-30046279291875] |
[a1,a2,a3,a4,a6] |
Generators |
[34838351350:414178390725:704969] |
Generators of the group modulo torsion |
j |
43138515777213631193352207793/5652352909513890349056 |
j-invariant |
L |
3.7578711328475 |
L(r)(E,1)/r! |
Ω |
0.02309348677238 |
Real period |
R |
13.560357118174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91350ep2 1218h2 |
Quadratic twists by: -3 5 |