Atkin-Lehner |
3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
49245bb |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-374379928555721445 = -1 · 310 · 5 · 710 · 672 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-813083,-283794577] |
[a1,a2,a3,a4,a6] |
Generators |
[6087:466327:1] |
Generators of the group modulo torsion |
j |
-505288421809878169/3182176886805 |
j-invariant |
L |
9.3154563060138 |
L(r)(E,1)/r! |
Ω |
0.079464370721771 |
Real period |
R |
5.8614044391092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035a2 |
Quadratic twists by: -7 |