Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576cs |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-7326498816 = -1 · 215 · 33 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-352,4724] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:48:1] [-17:78:1] |
Generators of the group modulo torsion |
j |
-24100657/36504 |
j-invariant |
L |
8.2833374649987 |
L(r)(E,1)/r! |
Ω |
1.1883154009816 |
Real period |
R |
0.29044398545752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822t1 122304gk1 91728eo1 30576bl1 |
Quadratic twists by: -4 8 -3 -7 |