Atkin-Lehner |
2- 3- 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494bj |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1440000 |
Modular degree for the optimal curve |
Δ |
-17011070824188672 = -1 · 28 · 36 · 75 · 11 · 793 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-123008,17782179] |
[a1,a2,a3,a4,a6] |
Generators |
[219:1035:1] |
Generators of the group modulo torsion |
j |
-282353350636276921/23334802227968 |
j-invariant |
L |
14.833840149328 |
L(r)(E,1)/r! |
Ω |
0.38199153325784 |
Real period |
R |
4.854112857592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12166e1 |
Quadratic twists by: -3 |