Atkin-Lehner |
3- 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98049w |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-161575882781607 = -1 · 32 · 79 · 232 · 292 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 4 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7743,-666072] |
[a1,a2,a3,a4,a6] |
Generators |
[2622:43965:8] |
Generators of the group modulo torsion |
j |
-436381926625/1373372343 |
j-invariant |
L |
6.3842483768284 |
L(r)(E,1)/r! |
Ω |
0.23473908705205 |
Real period |
R |
3.3996513100605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14007b1 |
Quadratic twists by: -7 |