Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950bz |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-888115200000000 = -1 · 218 · 3 · 58 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,21112,822281] |
[a1,a2,a3,a4,a6] |
Generators |
[485:10957:1] |
Generators of the group modulo torsion |
j |
2664100005215/2273574912 |
j-invariant |
L |
9.2729600267571 |
L(r)(E,1)/r! |
Ω |
0.32361792943891 |
Real period |
R |
0.26531515462489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950w1 |
Quadratic twists by: 5 |