Atkin-Lehner |
2+ 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38430f |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-23925211380 = -1 · 22 · 38 · 5 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,720,-540] |
[a1,a2,a3,a4,a6] |
Generators |
[3:39:1] [16:-130:1] |
Generators of the group modulo torsion |
j |
56578878719/32819220 |
j-invariant |
L |
6.2321712590492 |
L(r)(E,1)/r! |
Ω |
0.71121340672741 |
Real period |
R |
1.0953412857692 |
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 |
12810v2 |
Quadratic twists by: -3 |