Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920di |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
103852277760 = 218 · 3 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56385,5134623] |
[a1,a2,a3,a4,a6] |
j |
75627935783569/396165 |
j-invariant |
L |
3.7607675385824 |
L(r)(E,1)/r! |
Ω |
0.94019189376317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920fs4 1155a3 |
Quadratic twists by: -4 8 |