Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015o |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
1.5002747691758E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56319099,162567592591] |
[a1,a2,a3,a4,a6] |
Generators |
[4151:15711:1] |
Generators of the group modulo torsion |
j |
19755626005315513192334488489/15002747691757998046875 |
j-invariant |
L |
6.7749011288928 |
L(r)(E,1)/r! |
Ω |
0.12359223453867 |
Real period |
R |
0.65257809415639 |
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 |
45045bl2 75075k2 105105bh2 |
Quadratic twists by: -3 5 -7 |