Atkin-Lehner |
3+ 5+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84075g |
Isogeny class |
Conductor |
84075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-23941669921875 = -1 · 37 · 510 · 19 · 59 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 -4 7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10508,480293] |
[a1,a2,a3,a4,a6] |
j |
-8213064011776/1532266875 |
j-invariant |
L |
5.1778140867467 |
L(r)(E,1)/r! |
Ω |
0.64722673940428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16815f1 |
Quadratic twists by: 5 |