Atkin-Lehner |
5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
33475c |
Isogeny class |
Conductor |
33475 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
39200 |
Modular degree for the optimal curve |
Δ |
597549671875 = 56 · 135 · 103 |
Discriminant |
Eigenvalues |
-1 1 5+ -4 -4 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3438,-68383] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:99:1] |
Generators of the group modulo torsion |
j |
287626699801/38243179 |
j-invariant |
L |
2.1574268962628 |
L(r)(E,1)/r! |
Ω |
0.62895884079138 |
Real period |
R |
0.68603118561697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1339a1 |
Quadratic twists by: 5 |