Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015w |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
144736610099956875 = 32 · 54 · 712 · 11 · 132 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-150508,13027931] |
[a1,a2,a3,a4,a6] |
Generators |
[-375:4282:1] |
Generators of the group modulo torsion |
j |
377049455876971757881/144736610099956875 |
j-invariant |
L |
7.5943503485988 |
L(r)(E,1)/r! |
Ω |
0.29735817042214 |
Real period |
R |
2.1282836390588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45045be4 75075b4 105105d4 |
Quadratic twists by: -3 5 -7 |