Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90300j |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7430414512500000000 = -1 · 28 · 38 · 511 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,213492,125461512] |
[a1,a2,a3,a4,a6] |
Generators |
[2057:96250:1] |
Generators of the group modulo torsion |
j |
269033588026544/1857603628125 |
j-invariant |
L |
5.7069980557838 |
L(r)(E,1)/r! |
Ω |
0.17079040656009 |
Real period |
R |
4.1769018103592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999806572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060m2 |
Quadratic twists by: 5 |