Atkin-Lehner |
3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61605k |
Isogeny class |
Conductor |
61605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-28056218282415 = -1 · 37 · 5 · 376 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-257,-254784] |
[a1,a2,a3,a4,a6] |
Generators |
[1150703498:-25964416302:2352637] |
Generators of the group modulo torsion |
j |
-1/15 |
j-invariant |
L |
4.5313316613739 |
L(r)(E,1)/r! |
Ω |
0.30301721365882 |
Real period |
R |
14.954040421871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20535a1 45a1 |
Quadratic twists by: -3 37 |