Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fo |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-250462485504 = -1 · 210 · 33 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1111,19041] |
[a1,a2,a3,a4,a6] |
Generators |
[-1720:3871:125] |
Generators of the group modulo torsion |
j |
1257728/2079 |
j-invariant |
L |
6.7467074444136 |
L(r)(E,1)/r! |
Ω |
0.67341801563502 |
Real period |
R |
5.0093012491717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488eg1 25872da1 14784ce1 |
Quadratic twists by: -4 8 -7 |