Atkin-Lehner |
2- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9842h |
Isogeny class |
Conductor |
9842 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-13837852 = -1 · 22 · 7 · 192 · 372 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,28,172] |
[a1,a2,a3,a4,a6] |
Generators |
[28:138:1] |
Generators of the group modulo torsion |
j |
2422300607/13837852 |
j-invariant |
L |
5.3291979704213 |
L(r)(E,1)/r! |
Ω |
1.611698970442 |
Real period |
R |
1.6532857773558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78736bc1 88578i1 68894ba1 |
Quadratic twists by: -4 -3 -7 |