Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23940a |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
574560000 = 28 · 33 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2103,37102] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:150:1] [-1:198:1] |
Generators of the group modulo torsion |
j |
148811947632/83125 |
j-invariant |
L |
7.0643529099835 |
L(r)(E,1)/r! |
Ω |
1.6155093911162 |
Real period |
R |
1.4576110273807 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760ch2 23940d2 119700h2 |
Quadratic twists by: -4 -3 5 |