Atkin-Lehner |
2+ 3- 7+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154p |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
316310307731712 = 28 · 37 · 72 · 193 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-187083,31180869] |
[a1,a2,a3,a4,a6] |
Generators |
[198:1269:1] |
Generators of the group modulo torsion |
j |
993345814201536433/433896169728 |
j-invariant |
L |
4.2420783532154 |
L(r)(E,1)/r! |
Ω |
0.53501512424023 |
Real period |
R |
0.33037059508294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718n1 |
Quadratic twists by: -3 |