Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450g |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
5175000000 = 26 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -5 3 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3450,76500] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-330:1] |
Generators of the group modulo torsion |
j |
11631015625/13248 |
j-invariant |
L |
2.2146323069504 |
L(r)(E,1)/r! |
Ω |
1.3567720215743 |
Real period |
R |
0.13602336229761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27600de1 110400fe1 10350br1 3450t1 |
Quadratic twists by: -4 8 -3 5 |