Atkin-Lehner |
2+ 3+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98022f |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-112393775480832 = -1 · 220 · 38 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 1 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11931,97677] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:414753:1331] |
Generators of the group modulo torsion |
j |
195422238884327/116955021312 |
j-invariant |
L |
5.602652461996 |
L(r)(E,1)/r! |
Ω |
0.36252737080086 |
Real period |
R |
3.8636065255275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98022h1 |
Quadratic twists by: -31 |