Atkin-Lehner |
3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
2115a |
Isogeny class |
Conductor |
2115 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
14454703125 = 39 · 56 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 0 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6698,212572] |
[a1,a2,a3,a4,a6] |
j |
1688134559643/734375 |
j-invariant |
L |
1.2303103781941 |
L(r)(E,1)/r! |
Ω |
1.2303103781941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33840y2 2115b2 10575a2 103635g2 |
Quadratic twists by: -4 -3 5 -7 |