Atkin-Lehner |
3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2415h |
Isogeny class |
Conductor |
2415 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4251692025 = 38 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-405,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:60:1] |
Generators of the group modulo torsion |
j |
7347774183121/4251692025 |
j-invariant |
L |
2.5188841224333 |
L(r)(E,1)/r! |
Ω |
1.1706369746498 |
Real period |
R |
0.53793024160776 |
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 |
38640cb2 7245i2 12075i2 16905c2 |
Quadratic twists by: -4 -3 5 -7 |