Atkin-Lehner |
7+ 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
15211a |
Isogeny class |
Conductor |
15211 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2940 |
Modular degree for the optimal curve |
Δ |
-36521611 = -1 · 75 · 41 · 53 |
Discriminant |
Eigenvalues |
0 -2 1 7+ -2 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15,-297] |
[a1,a2,a3,a4,a6] |
j |
-398688256/36521611 |
j-invariant |
L |
0.90974972141563 |
L(r)(E,1)/r! |
Ω |
0.90974972141563 |
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 |
106477d1 |
Quadratic twists by: -7 |