Atkin-Lehner |
3- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
84975m |
Isogeny class |
Conductor |
84975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-59748046875 = -1 · 33 · 59 · 11 · 103 |
Discriminant |
Eigenvalues |
-2 3- 5- 1 11- -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,292,-11506] |
[a1,a2,a3,a4,a6] |
Generators |
[33:187:1] |
Generators of the group modulo torsion |
j |
1404928/30591 |
j-invariant |
L |
4.8303081601603 |
L(r)(E,1)/r! |
Ω |
0.53897377479416 |
Real period |
R |
1.4936744556258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84975e1 |
Quadratic twists by: 5 |