Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280n |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
317712018632400 = 24 · 39 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18522,-453789] |
[a1,a2,a3,a4,a6] |
Generators |
[-41055:75438:343] |
Generators of the group modulo torsion |
j |
55296/25 |
j-invariant |
L |
6.2515740609662 |
L(r)(E,1)/r! |
Ω |
0.42701139692507 |
Real period |
R |
7.3201489538502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640bu1 35280g1 35280b1 |
Quadratic twists by: -4 -3 -7 |