Atkin-Lehner |
2+ 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9842d |
Isogeny class |
Conductor |
9842 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
68894 = 2 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- -3 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58850,5490030] |
[a1,a2,a3,a4,a6] |
Generators |
[70:1274:1] [122:299:1] |
Generators of the group modulo torsion |
j |
22539927008317185433/68894 |
j-invariant |
L |
2.904872873225 |
L(r)(E,1)/r! |
Ω |
1.6304588173333 |
Real period |
R |
8.0173309442346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
78736p1 88578bq1 68894f1 |
Quadratic twists by: -4 -3 -7 |