Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150p |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-7759355090042880000 = -1 · 221 · 39 · 54 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -3 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2529942,1555286516] |
[a1,a2,a3,a4,a6] |
Generators |
[1063:7609:1] |
Generators of the group modulo torsion |
j |
-145574126741391075/630745726976 |
j-invariant |
L |
2.9183092847017 |
L(r)(E,1)/r! |
Ω |
0.23527976812699 |
Real period |
R |
2.0672618162438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30150cc1 30150bs2 |
Quadratic twists by: -3 5 |