Atkin-Lehner |
2- 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410y |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
3.1379545134942E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1354204958,18991200884141] |
[a1,a2,a3,a4,a6] |
Generators |
[79166:20449323:8] |
Generators of the group modulo torsion |
j |
376746635001120120254726484121/4304464353215590049774080 |
j-invariant |
L |
9.3801912012529 |
L(r)(E,1)/r! |
Ω |
0.045071440427378 |
Real period |
R |
5.7810636665394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001848 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9490d3 |
Quadratic twists by: -3 |