Atkin-Lehner |
19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8303a |
Isogeny class |
Conductor |
8303 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-250141961313499 = -1 · 197 · 234 |
Discriminant |
Eigenvalues |
0 -2 -1 -5 -1 0 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6739,-728301] |
[a1,a2,a3,a4,a6] |
Generators |
[253:4151:1] |
Generators of the group modulo torsion |
j |
719323136/5316979 |
j-invariant |
L |
1.0095543621516 |
L(r)(E,1)/r! |
Ω |
0.27567914425862 |
Real period |
R |
0.45775786053136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74727m1 437a1 |
Quadratic twists by: -3 -19 |