Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200cp |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
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 |
[1965367965:20761613056:4492125] |
Generators of the group modulo torsion |
j |
-45652085444690/2209 |
j-invariant |
L |
7.3508592627814 |
L(r)(E,1)/r! |
Ω |
0.13089929898013 |
Real period |
R |
14.039149405773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200c1 18800c1 75200dg1 |
Quadratic twists by: -4 8 5 |