Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200c |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-7238451200 = -1 · 217 · 52 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 -5 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110593,14192897] |
[a1,a2,a3,a4,a6] |
Generators |
[193:-16:1] |
Generators of the group modulo torsion |
j |
-45652085444690/2209 |
j-invariant |
L |
3.8278299609897 |
L(r)(E,1)/r! |
Ω |
0.98965431581833 |
Real period |
R |
0.48348068350745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200cp1 9400h1 75200br1 |
Quadratic twists by: -4 8 5 |