Atkin-Lehner |
2- 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30940i |
Isogeny class |
Conductor |
30940 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
212248400 = 24 · 52 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1825,29400] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:200:1] [-25:245:1] |
Generators of the group modulo torsion |
j |
42036861485056/13265525 |
j-invariant |
L |
6.4815971083917 |
L(r)(E,1)/r! |
Ω |
1.740103642188 |
Real period |
R |
1.2416113138796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760bs1 |
Quadratic twists by: -4 |