Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150cu |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1060283844000 = 25 · 310 · 53 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7115,227387] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-194:1] [-51:700:1] |
Generators of the group modulo torsion |
j |
437072677469/11635488 |
j-invariant |
L |
10.610963412943 |
L(r)(E,1)/r! |
Ω |
0.87124378506861 |
Real period |
R |
0.60895489843342 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050p2 30150bm2 |
Quadratic twists by: -3 5 |