Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192r |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
40208381696811008 = 213 · 172 · 198 |
Discriminant |
Eigenvalues |
2- -2 4 -4 -2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22243496,40371317812] |
[a1,a2,a3,a4,a6] |
Generators |
[489751020:-3368397862:166375] |
Generators of the group modulo torsion |
j |
6316133726112049/208658 |
j-invariant |
L |
5.7756853661024 |
L(r)(E,1)/r! |
Ω |
0.26701644387969 |
Real period |
R |
10.815224101439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12274e2 5168h2 |
Quadratic twists by: -4 -19 |