Atkin-Lehner |
3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15141c |
Isogeny class |
Conductor |
15141 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-2944636821 = -1 · 35 · 76 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 1 7- -2 5 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,-3382] |
[a1,a2,a3,a4,a6] |
j |
-24137569/25029 |
j-invariant |
L |
1.1061552186767 |
L(r)(E,1)/r! |
Ω |
0.55307760933835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45423g1 309a1 |
Quadratic twists by: -3 -7 |