Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790bo |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
696635317822500 = 22 · 38 · 54 · 76 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22500,-268164] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:510:1] [-110:986:1] |
Generators of the group modulo torsion |
j |
14688124849/8122500 |
j-invariant |
L |
7.5200404090324 |
L(r)(E,1)/r! |
Ω |
0.4174334197221 |
Real period |
R |
2.2518682182635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27930dn2 1710h2 |
Quadratic twists by: -3 -7 |