Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450bl |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25707074286978000 = -1 · 24 · 32 · 53 · 74 · 296 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-120646,-17889112] |
[a1,a2,a3,a4,a6] |
Generators |
[516:7312:1] |
Generators of the group modulo torsion |
j |
-1553628956554111373/205656594295824 |
j-invariant |
L |
4.714520516272 |
L(r)(E,1)/r! |
Ω |
0.12714513706316 |
Real period |
R |
4.6349791910741 |
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 |
91350fi2 30450cl2 |
Quadratic twists by: -3 5 |