Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800cl |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-7508800000000 = -1 · 212 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 1 3 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114208,-14894412] |
[a1,a2,a3,a4,a6] |
Generators |
[35572:6708862:1] |
Generators of the group modulo torsion |
j |
-102966775105/4693 |
j-invariant |
L |
4.3211298772569 |
L(r)(E,1)/r! |
Ω |
0.12985058870642 |
Real period |
R |
8.319426830175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999788577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6175e1 98800bx1 |
Quadratic twists by: -4 5 |