Atkin-Lehner |
5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57575p |
Isogeny class |
Conductor |
57575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
289800 |
Modular degree for the optimal curve |
Δ |
-5186069024609375 = -1 · 58 · 710 · 47 |
Discriminant |
Eigenvalues |
1 -1 5- 7- -2 -4 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-181325,-29996000] |
[a1,a2,a3,a4,a6] |
Generators |
[65877782229996030591392:6362097887697149614781176:6977320199069105647] |
Generators of the group modulo torsion |
j |
-5975305/47 |
j-invariant |
L |
4.4058587321036 |
L(r)(E,1)/r! |
Ω |
0.11562476858958 |
Real period |
R |
38.104800432014 |
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 |
57575m1 57575o1 |
Quadratic twists by: 5 -7 |