Atkin-Lehner |
2- 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100o |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-13722801300000000 = -1 · 28 · 34 · 58 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32292,5163912] |
[a1,a2,a3,a4,a6] |
j |
37238750000/137228013 |
j-invariant |
L |
1.1287786004284 |
L(r)(E,1)/r! |
Ω |
0.28219465106852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100r1 |
Quadratic twists by: 5 |