Atkin-Lehner |
2+ 3- 7+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154r |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
890880 |
Modular degree for the optimal curve |
Δ |
-5941004162843232 = -1 · 25 · 310 · 74 · 19 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 3 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30150,-4212972] |
[a1,a2,a3,a4,a6] |
Generators |
[344889:202371138:1] |
Generators of the group modulo torsion |
j |
-4157825282402401/8149525600608 |
j-invariant |
L |
6.6140098681021 |
L(r)(E,1)/r! |
Ω |
0.17034491912321 |
Real period |
R |
9.706790642191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32718q1 |
Quadratic twists by: -3 |