Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935n |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3446488883578125 = -1 · 3 · 56 · 73 · 118 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10711,2852114] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:1399:1] |
Generators of the group modulo torsion |
j |
-223648543/5671875 |
j-invariant |
L |
2.9325925416569 |
L(r)(E,1)/r! |
Ω |
0.37310800118697 |
Real period |
R |
1.9649756415064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019514 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88935ck2 8085e2 |
Quadratic twists by: -7 -11 |