Atkin-Lehner |
2+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104690b |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
63651520000000 = 212 · 57 · 193 · 29 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 3 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10945,219325] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:615:1] |
Generators of the group modulo torsion |
j |
21141340775451/9280000000 |
j-invariant |
L |
2.7239348058571 |
L(r)(E,1)/r! |
Ω |
0.55918037767965 |
Real period |
R |
1.2178247424224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104690t1 |
Quadratic twists by: -19 |