Atkin-Lehner |
5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2915d |
Isogeny class |
Conductor |
2915 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
58418421875 = 56 · 113 · 532 |
Discriminant |
Eigenvalues |
-1 0 5- -4 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7237,238474] |
[a1,a2,a3,a4,a6] |
Generators |
[52:1:1] |
Generators of the group modulo torsion |
j |
41912461658206881/58418421875 |
j-invariant |
L |
1.9294190999092 |
L(r)(E,1)/r! |
Ω |
1.1108082123363 |
Real period |
R |
0.19299452201476 |
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 |
46640q2 26235c2 14575e2 32065c2 |
Quadratic twists by: -4 -3 5 -11 |