Atkin-Lehner |
2+ 3- 13- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30498i |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-8848968551258784 = -1 · 25 · 3 · 138 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9477,-4540592] |
[a1,a2,a3,a4,a6] |
j |
-94117520489036617/8848968551258784 |
j-invariant |
L |
4.3709677307874 |
L(r)(E,1)/r! |
Ω |
0.18212365544955 |
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 |
91494bb1 |
Quadratic twists by: -3 |