Atkin-Lehner |
2+ 3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698q |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15832320 |
Modular degree for the optimal curve |
Δ |
-7.2070315002911E+21 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 3 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1874582550,31240033248244] |
[a1,a2,a3,a4,a6] |
Generators |
[24995:-13348:1] |
Generators of the group modulo torsion |
j |
-999332228994539284564820200801/9886188614939836416 |
j-invariant |
L |
4.4513216769984 |
L(r)(E,1)/r! |
Ω |
0.0925308795469 |
Real period |
R |
2.0044307095089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566m1 |
Quadratic twists by: -3 |