Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270ch |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-6154243473510 = -1 · 2 · 32 · 5 · 119 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3930,72810] |
[a1,a2,a3,a4,a6] |
Generators |
[2708:34583:64] |
Generators of the group modulo torsion |
j |
3789119879/3473910 |
j-invariant |
L |
12.428031674157 |
L(r)(E,1)/r! |
Ω |
0.49332180439664 |
Real period |
R |
3.1490681030077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570n1 |
Quadratic twists by: -11 |