Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258l |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
4764545712 = 24 · 311 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 5 -7 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-500,2855] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:85:1] |
Generators of the group modulo torsion |
j |
11259625/3888 |
j-invariant |
L |
7.3596858859073 |
L(r)(E,1)/r! |
Ω |
1.2601042509999 |
Real period |
R |
0.36503358155027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10086g1 30258x1 |
Quadratic twists by: -3 41 |