Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920p |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-115541717760000 = -1 · 211 · 36 · 54 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10360,323988] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:420:1] |
Generators of the group modulo torsion |
j |
60038675812078/56416854375 |
j-invariant |
L |
7.1716623162092 |
L(r)(E,1)/r! |
Ω |
0.38727871324406 |
Real period |
R |
0.12859785169201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15960a2 127680dq2 95760bd2 |
Quadratic twists by: -4 8 -3 |