Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38700c |
Isogeny class |
Conductor |
38700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-17632687500000000 = -1 · 28 · 38 · 512 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 5 3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61800,2418500] |
[a1,a2,a3,a4,a6] |
Generators |
[160:4050:1] |
Generators of the group modulo torsion |
j |
8951619584/6046875 |
j-invariant |
L |
6.6311254665799 |
L(r)(E,1)/r! |
Ω |
0.24466397994066 |
Real period |
R |
2.2585825221013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12900b1 7740a1 |
Quadratic twists by: -3 5 |