Atkin-Lehner |
2- 3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698bi |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-4504180232595456 = -1 · 211 · 311 · 7 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -5 -1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40441,782079] |
[a1,a2,a3,a4,a6] |
Generators |
[467:-11250:1] [143:-3150:1] |
Generators of the group modulo torsion |
j |
10033949469247703/6178573707264 |
j-invariant |
L |
10.766578103517 |
L(r)(E,1)/r! |
Ω |
0.26889824162923 |
Real period |
R |
0.15166515247275 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566b1 |
Quadratic twists by: -3 |