Atkin-Lehner |
2+ 3- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
53874a |
Isogeny class |
Conductor |
53874 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3642114897137995776 = 212 · 310 · 414 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-403686,36366772] |
[a1,a2,a3,a4,a6] |
Generators |
[217846041:2434669817:328509] |
Generators of the group modulo torsion |
j |
9979938233727490657/4996042382905344 |
j-invariant |
L |
5.7802908769231 |
L(r)(E,1)/r! |
Ω |
0.22075515956145 |
Real period |
R |
13.092085567636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999509 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17958j2 |
Quadratic twists by: -3 |