Atkin-Lehner |
2+ 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63650d |
Isogeny class |
Conductor |
63650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
435600 |
Modular degree for the optimal curve |
Δ |
-2085683200000000 = -1 · 222 · 58 · 19 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 4 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43701,-4149952] |
[a1,a2,a3,a4,a6] |
Generators |
[7027:585286:1] |
Generators of the group modulo torsion |
j |
-23627812537705/5339348992 |
j-invariant |
L |
2.8550836981599 |
L(r)(E,1)/r! |
Ω |
0.16313864338993 |
Real period |
R |
2.9168275097038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63650i1 |
Quadratic twists by: 5 |