Atkin-Lehner |
5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19435a |
Isogeny class |
Conductor |
19435 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-36644153482421875 = -1 · 59 · 138 · 23 |
Discriminant |
Eigenvalues |
0 -2 5+ 1 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-98921,15074310] |
[a1,a2,a3,a4,a6] |
Generators |
[290:3295:1] |
Generators of the group modulo torsion |
j |
-22178567028736/7591796875 |
j-invariant |
L |
2.2903153772098 |
L(r)(E,1)/r! |
Ω |
0.34502523929993 |
Real period |
R |
3.3190548347374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175f1 1495c1 |
Quadratic twists by: 5 13 |