Atkin-Lehner |
3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38955c |
Isogeny class |
Conductor |
38955 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-358048187109375 = -1 · 3 · 58 · 78 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -6 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71296,7353968] |
[a1,a2,a3,a4,a6] |
Generators |
[34:2212:1] [132:448:1] |
Generators of the group modulo torsion |
j |
-340668004990321/3043359375 |
j-invariant |
L |
4.2711221907296 |
L(r)(E,1)/r! |
Ω |
0.54061473516796 |
Real period |
R |
3.9502458154434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116865bh1 5565g1 |
Quadratic twists by: -3 -7 |