Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712bz |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
56606230315008 = 222 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-222924,-40510352] |
[a1,a2,a3,a4,a6] |
Generators |
[-11182190370:1618039808:41063625] |
Generators of the group modulo torsion |
j |
6411014266033/296208 |
j-invariant |
L |
10.182271827417 |
L(r)(E,1)/r! |
Ω |
0.21971593317763 |
Real period |
R |
11.58572303674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712dm1 3366c1 35904bg1 |
Quadratic twists by: -4 8 -3 |