Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800bp |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16450560 |
Modular degree for the optimal curve |
Δ |
7.617971887502E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-119575458,-503224386588] |
[a1,a2,a3,a4,a6] |
Generators |
[-2198396416350881349405967843085267091593910078177871392:1314458745707290130945877442861962743549563296213371550:348965234306212223098258722868356367187872283865829] |
Generators of the group modulo torsion |
j |
189081863882008469848000/7617971887502013 |
j-invariant |
L |
6.7906261463851 |
L(r)(E,1)/r! |
Ω |
0.045655183325225 |
Real period |
R |
74.368622046833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88800cl1 3552d1 |
Quadratic twists by: -4 5 |