Atkin-Lehner |
3- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945y |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-7527135 = -1 · 3 · 5 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,49,0] |
[a1,a2,a3,a4,a6] |
Generators |
[9:30:1] |
Generators of the group modulo torsion |
j |
12994449551/7527135 |
j-invariant |
L |
3.6392986277506 |
L(r)(E,1)/r! |
Ω |
1.3958857564887 |
Real period |
R |
2.6071608015437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65835bl1 109725k1 |
Quadratic twists by: -3 5 |