Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92450c |
Isogeny class |
Conductor |
92450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
975240 |
Modular degree for the optimal curve |
Δ |
-149608963553292800 = -1 · 29 · 52 · 438 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 3 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-190485,-37096595] |
[a1,a2,a3,a4,a6] |
Generators |
[48732962646897100233111879:4167444608647637019245963135:6564403541547797931271] |
Generators of the group modulo torsion |
j |
-2615905/512 |
j-invariant |
L |
4.7983024857323 |
L(r)(E,1)/r! |
Ω |
0.11306783592706 |
Real period |
R |
42.437377936797 |
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 |
92450bf1 92450bb1 |
Quadratic twists by: 5 -43 |