Atkin-Lehner |
2+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650bp |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
21404844468224000 = 214 · 53 · 710 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-442985,113080325] |
[a1,a2,a3,a4,a6] |
j |
653723433587069/1455505408 |
j-invariant |
L |
0.76665873099934 |
L(r)(E,1)/r! |
Ω |
0.38332937639148 |
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 |
90650dc1 12950i1 |
Quadratic twists by: 5 -7 |