Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050l |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-1654501913085937500 = -1 · 22 · 33 · 512 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1052817,420636841] |
[a1,a2,a3,a4,a6] |
Generators |
[504:-4477:1] |
Generators of the group modulo torsion |
j |
-63378025803/812500 |
j-invariant |
L |
3.5695542221521 |
L(r)(E,1)/r! |
Ω |
0.26722498090396 |
Real period |
R |
1.6697326588405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76050dp3 15210ba1 5850bd1 |
Quadratic twists by: -3 5 13 |