Atkin-Lehner |
2+ 3+ 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650v |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
820224 |
Modular degree for the optimal curve |
Δ |
1696899104298000 = 24 · 39 · 53 · 23 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38030,-2070300] |
[a1,a2,a3,a4,a6] |
j |
48664304246459357/13575192834384 |
j-invariant |
L |
1.3963256825245 |
L(r)(E,1)/r! |
Ω |
0.34908118089083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127650dn1 |
Quadratic twists by: 5 |