Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
15040s |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
23500000000000000 = 214 · 515 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -3 7 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126065,-15527663] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:1000:1] |
Generators of the group modulo torsion |
j |
13523552840818384/1434326171875 |
j-invariant |
L |
3.8781558052816 |
L(r)(E,1)/r! |
Ω |
0.25510631199101 |
Real period |
R |
0.25336860379333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15040be2 940c2 75200b2 |
Quadratic twists by: -4 8 5 |