Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cz |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
22934496060000 = 25 · 33 · 54 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26543,-1641769] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:172:1] [-89:142:1] |
Generators of the group modulo torsion |
j |
651038076963/7220000 |
j-invariant |
L |
14.80929679114 |
L(r)(E,1)/r! |
Ω |
0.37428667026182 |
Real period |
R |
1.9783361214504 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790t2 1710m2 |
Quadratic twists by: -3 -7 |