Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bp |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1968670040400 = 24 · 315 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-413238,102246487] |
[a1,a2,a3,a4,a6] |
Generators |
[179:5832:1] |
Generators of the group modulo torsion |
j |
1950665639360512/492075 |
j-invariant |
L |
5.5870671526678 |
L(r)(E,1)/r! |
Ω |
0.66232769809924 |
Real period |
R |
2.1088757003148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640v1 11760bi1 35280cn1 |
Quadratic twists by: -4 -3 -7 |