Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950ca |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-80679227343750 = -1 · 2 · 36 · 58 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10763,-613969] |
[a1,a2,a3,a4,a6] |
Generators |
[1230:8831:8] |
Generators of the group modulo torsion |
j |
-352993103185/206538822 |
j-invariant |
L |
8.3389574156994 |
L(r)(E,1)/r! |
Ω |
0.22822339313208 |
Real period |
R |
1.5224405974217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950y1 |
Quadratic twists by: 5 |