Atkin-Lehner |
3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
38775d |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-95627618096484375 = -1 · 316 · 58 · 112 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,19375,14850000] |
[a1,a2,a3,a4,a6] |
Generators |
[63372:-3109838:27] |
Generators of the group modulo torsion |
j |
51474696591599/6120167558175 |
j-invariant |
L |
4.5796298880161 |
L(r)(E,1)/r! |
Ω |
0.25942812969239 |
Real period |
R |
8.826394218402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325q1 7755h1 |
Quadratic twists by: -3 5 |