Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950cb |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
408 |
Product of Tamagawa factors cp |
deg |
182784 |
Modular degree for the optimal curve |
Δ |
-104442347520000 = -1 · 217 · 32 · 54 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11662,-77569] |
[a1,a2,a3,a4,a6] |
Generators |
[345:6547:1] |
Generators of the group modulo torsion |
j |
280647048061775/167107756032 |
j-invariant |
L |
9.0094525548579 |
L(r)(E,1)/r! |
Ω |
0.34820324257406 |
Real period |
R |
0.063416961292609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950z1 |
Quadratic twists by: 5 |