Atkin-Lehner |
2+ 3- 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154m |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-299548239694921728 = -1 · 218 · 38 · 7 · 192 · 413 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2907,26331669] |
[a1,a2,a3,a4,a6] |
Generators |
[-237:3624:1] |
Generators of the group modulo torsion |
j |
3726037668527/410902935109632 |
j-invariant |
L |
3.4107801521959 |
L(r)(E,1)/r! |
Ω |
0.24305953040602 |
Real period |
R |
1.1693912149399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718j1 |
Quadratic twists by: -3 |