Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970s |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
203609700 = 22 · 37 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225,1161] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:39:1] [-12:51:1] |
Generators of the group modulo torsion |
j |
1732323601/279300 |
j-invariant |
L |
4.3856306407266 |
L(r)(E,1)/r! |
Ω |
1.704891196522 |
Real period |
R |
0.32154769243292 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760eg1 3990bc1 59850fk1 83790cp1 |
Quadratic twists by: -4 -3 5 -7 |