Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
61800g |
Isogeny class |
Conductor |
61800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-3337200000000 = -1 · 210 · 34 · 58 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 2 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42208,-3352912] |
[a1,a2,a3,a4,a6] |
Generators |
[308:3600:1] |
Generators of the group modulo torsion |
j |
-20790183940/8343 |
j-invariant |
L |
7.0841949383461 |
L(r)(E,1)/r! |
Ω |
0.16653654633611 |
Real period |
R |
1.7724325116506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600j1 61800j1 |
Quadratic twists by: -4 5 |