Atkin-Lehner |
2- 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950bn |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-9876830985000000 = -1 · 26 · 314 · 57 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 6 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2188,4780781] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2187:1] |
Generators of the group modulo torsion |
j |
-74140932601/632117183040 |
j-invariant |
L |
9.1420795033218 |
L(r)(E,1)/r! |
Ω |
0.32664991639966 |
Real period |
R |
1.1661413647974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390l1 |
Quadratic twists by: 5 |