Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520ba |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
10304000000 = 212 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -6 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-692,-5024] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:40:1] |
Generators of the group modulo torsion |
j |
8947094976/2515625 |
j-invariant |
L |
4.8136074127109 |
L(r)(E,1)/r! |
Ω |
0.95066022603554 |
Real period |
R |
0.84390603513924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520bf2 25760a1 |
Quadratic twists by: -4 8 |