Atkin-Lehner |
2- 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464be |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
827904 |
Modular degree for the optimal curve |
Δ |
6356916661911552 = 223 · 36 · 114 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11- -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-619875,187807842] |
[a1,a2,a3,a4,a6] |
Generators |
[34:12914:1] [529:-2816:1] |
Generators of the group modulo torsion |
j |
8821625150390625/2128918528 |
j-invariant |
L |
12.234104585016 |
L(r)(E,1)/r! |
Ω |
0.41261709540698 |
Real period |
R |
1.8531261671751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14058b1 12496g1 |
Quadratic twists by: -4 -3 |