Atkin-Lehner |
2+ 3- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698h |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
18182965183488 = 210 · 310 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10827,-379323] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:149:1] |
Generators of the group modulo torsion |
j |
192549837768625/24942339072 |
j-invariant |
L |
3.1880648547669 |
L(r)(E,1)/r! |
Ω |
0.47202273903037 |
Real period |
R |
1.6885123274533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566r1 |
Quadratic twists by: -3 |