Atkin-Lehner |
2+ 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650r |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24652800 |
Modular degree for the optimal curve |
Δ |
1.7566140869486E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -3 7 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63872825,-195470902875] |
[a1,a2,a3,a4,a6] |
Generators |
[-319747537018:281219935901:65450827] |
Generators of the group modulo torsion |
j |
73775483160910511085625/449693206258839552 |
j-invariant |
L |
5.2805440907966 |
L(r)(E,1)/r! |
Ω |
0.053423209027025 |
Real period |
R |
12.355454181266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650di1 |
Quadratic twists by: 5 |