Atkin-Lehner |
3+ 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
83325i |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-165085928974828125 = -1 · 310 · 56 · 116 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11- 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-154988,-30621094] |
[a1,a2,a3,a4,a6] |
Generators |
[620:10277:1] |
Generators of the group modulo torsion |
j |
-26351059610839033/10565499454389 |
j-invariant |
L |
2.763561639549 |
L(r)(E,1)/r! |
Ω |
0.11797641647033 |
Real period |
R |
1.9520579617835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3333f2 |
Quadratic twists by: 5 |