Atkin-Lehner |
2- 3- 13- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
102258bb |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1416960 |
Modular degree for the optimal curve |
Δ |
3475163515711914 = 2 · 36 · 134 · 193 · 233 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -3 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-449204,-115734211] |
[a1,a2,a3,a4,a6] |
Generators |
[-24524:21369:64] |
Generators of the group modulo torsion |
j |
13750741629861622777/4767028142266 |
j-invariant |
L |
7.9865147037992 |
L(r)(E,1)/r! |
Ω |
0.18441564505098 |
Real period |
R |
3.6089285710596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11362f1 |
Quadratic twists by: -3 |