Atkin-Lehner |
2+ 3- 5- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
30810w |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
28867232470050 = 2 · 39 · 52 · 135 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -2 13- 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48068,4044008] |
[a1,a2,a3,a4,a6] |
Generators |
[54:1240:1] |
Generators of the group modulo torsion |
j |
12282276831019598521/28867232470050 |
j-invariant |
L |
5.3829950421446 |
L(r)(E,1)/r! |
Ω |
0.66511478347098 |
Real period |
R |
0.089925915812152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92430bl1 |
Quadratic twists by: -3 |