Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200dq |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
121344 |
Modular degree for the optimal curve |
Δ |
830584000 = 26 · 53 · 473 |
Discriminant |
Eigenvalues |
2- -3 5- -3 -3 5 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3835,-91400] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:2:1] |
Generators of the group modulo torsion |
j |
779704121664/103823 |
j-invariant |
L |
2.5538767196925 |
L(r)(E,1)/r! |
Ω |
0.606682800247 |
Real period |
R |
2.1047874736856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200ed1 37600e1 75200ee1 |
Quadratic twists by: -4 8 5 |