Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bi |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
380305856842956800 = 221 · 52 · 72 · 236 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 6 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181825,-3135423] |
[a1,a2,a3,a4,a6] |
j |
2535986675931409/1450751712200 |
j-invariant |
L |
6.0133703867137 |
L(r)(E,1)/r! |
Ω |
0.25055709941783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520ca2 1610e2 |
Quadratic twists by: -4 8 |