Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400bg |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-1.16541217016E+20 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 -1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,945667,379794037] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:16625:1] [291:-26068:1] |
Generators of the group modulo torsion |
j |
11690900609536/14567652127 |
j-invariant |
L |
9.6417656620889 |
L(r)(E,1)/r! |
Ω |
0.12526628053896 |
Real period |
R |
1.0690300005669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400cf1 106400ck1 |
Quadratic twists by: -4 5 |