Atkin-Lehner |
2- 3- 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62730bd |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-8333053200000 = -1 · 27 · 36 · 55 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-425612,106979599] |
[a1,a2,a3,a4,a6] |
Generators |
[407:821:1] |
Generators of the group modulo torsion |
j |
-11695985466628852089/11430800000 |
j-invariant |
L |
10.336022666338 |
L(r)(E,1)/r! |
Ω |
0.61717006166722 |
Real period |
R |
0.23924923749214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6970d1 |
Quadratic twists by: -3 |