Atkin-Lehner |
2- 5- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20930l |
Isogeny class |
Conductor |
20930 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-2829736000 = -1 · 26 · 53 · 7 · 133 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-245,-2975] |
[a1,a2,a3,a4,a6] |
Generators |
[20:5:1] |
Generators of the group modulo torsion |
j |
-1626794704081/2829736000 |
j-invariant |
L |
6.0795324636301 |
L(r)(E,1)/r! |
Ω |
0.56982936966047 |
Real period |
R |
1.7781733700542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104650c1 |
Quadratic twists by: 5 |