Atkin-Lehner |
2+ 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550n |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4.0886169433594E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-445875,30764278125] |
[a1,a2,a3,a4,a6] |
Generators |
[4230:321285:1] |
Generators of the group modulo torsion |
j |
-627400087697179441/26167148437500000000 |
j-invariant |
L |
4.0297503458773 |
L(r)(E,1)/r! |
Ω |
0.075497894520015 |
Real period |
R |
3.3359790788677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650ed3 6510ba4 |
Quadratic twists by: -3 5 |