Atkin-Lehner |
2+ 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950b |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
-37634625000000 = -1 · 26 · 36 · 59 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-992775,380323125] |
[a1,a2,a3,a4,a6] |
Generators |
[615:1380:1] |
Generators of the group modulo torsion |
j |
-6925591418687384689/2408616000 |
j-invariant |
L |
3.7758634008254 |
L(r)(E,1)/r! |
Ω |
0.52426826043432 |
Real period |
R |
0.45013494116064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390t1 |
Quadratic twists by: 5 |