Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030p |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2.8947322019991E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7237744,-7490808058] |
[a1,a2,a3,a4,a6] |
Generators |
[-98796:-79259:64] |
Generators of the group modulo torsion |
j |
41930812689013138926075769/28947322019991375000 |
j-invariant |
L |
5.0052125478512 |
L(r)(E,1)/r! |
Ω |
0.092048508191104 |
Real period |
R |
2.2656589109968 |
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 |
90090ds4 |
Quadratic twists by: -3 |