Atkin-Lehner |
2+ 3- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77832b |
Isogeny class |
Conductor |
77832 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7850935010304 = 210 · 38 · 232 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4971,-4970] |
[a1,a2,a3,a4,a6] |
Generators |
[74:180:1] |
Generators of the group modulo torsion |
j |
18198161572/10517049 |
j-invariant |
L |
4.4059386042186 |
L(r)(E,1)/r! |
Ω |
0.62156376121159 |
Real period |
R |
3.5442370354827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986802 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25944i2 |
Quadratic twists by: -3 |