Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075f |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-35901826171875 = -1 · 37 · 510 · 412 |
Discriminant |
Eigenvalues |
1 3+ 5+ -3 -2 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9075,436500] |
[a1,a2,a3,a4,a6] |
Generators |
[1092:9472:27] |
Generators of the group modulo torsion |
j |
-5035825/2187 |
j-invariant |
L |
4.1103744865017 |
L(r)(E,1)/r! |
Ω |
0.6099590786709 |
Real period |
R |
6.7387707275153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000248571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126075bc1 126075z1 |
Quadratic twists by: 5 41 |