Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40200be |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-30604515018750000 = -1 · 24 · 35 · 58 · 674 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13217,8400938] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:1575:1] |
Generators of the group modulo torsion |
j |
1021291022336/122418060075 |
j-invariant |
L |
7.2135934203443 |
L(r)(E,1)/r! |
Ω |
0.28529225246562 |
Real period |
R |
2.5284925748966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400g1 120600g1 8040b1 |
Quadratic twists by: -4 -3 5 |