Atkin-Lehner |
2+ 3- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98022i |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1607040 |
Modular degree for the optimal curve |
Δ |
-2006450046529000848 = -1 · 24 · 32 · 17 · 3110 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 3 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-481001,145325756] |
[a1,a2,a3,a4,a6] |
Generators |
[299:5166:1] |
Generators of the group modulo torsion |
j |
-15015625/2448 |
j-invariant |
L |
5.6929586809822 |
L(r)(E,1)/r! |
Ω |
0.25256427824852 |
Real period |
R |
5.6351582225586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98022c1 |
Quadratic twists by: -31 |