Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072dg |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
308 |
Product of Tamagawa factors cp |
deg |
1892352 |
Modular degree for the optimal curve |
Δ |
-4.3827228648051E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -3 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,968927,938276447] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:27744:1] |
Generators of the group modulo torsion |
j |
383757181824152375/1671876092836413 |
j-invariant |
L |
8.0276480455464 |
L(r)(E,1)/r! |
Ω |
0.11968241584489 |
Real period |
R |
0.21777461768444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072q1 18768q1 |
Quadratic twists by: -4 8 |