Atkin-Lehner |
3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74727o |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.3778095393377E+24 |
Discriminant |
Eigenvalues |
-1 3- 2 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10052474,57794091266] |
[a1,a2,a3,a4,a6] |
Generators |
[1715543483007794589841260:459046826122618406807977607:23828102705733004736] |
Generators of the group modulo torsion |
j |
-3275619238041697/40173535449153 |
j-invariant |
L |
5.36057257905 |
L(r)(E,1)/r! |
Ω |
0.072605108627228 |
Real period |
R |
36.915946268166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24909m3 3933a4 |
Quadratic twists by: -3 -19 |