Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072de |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
6080832 = 26 · 35 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,-235] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] |
Generators of the group modulo torsion |
j |
681472000/95013 |
j-invariant |
L |
7.8525835223373 |
L(r)(E,1)/r! |
Ω |
1.6465636672157 |
Real period |
R |
0.95381474495371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072p1 18768p1 |
Quadratic twists by: -4 8 |