Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024bf |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
289536 |
Modular degree for the optimal curve |
Δ |
-5919759562752 = -1 · 211 · 313 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -5 1 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3376,-140428] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2430:1] |
Generators of the group modulo torsion |
j |
-42416382722/58989951 |
j-invariant |
L |
10.461686265645 |
L(r)(E,1)/r! |
Ω |
0.29802350153537 |
Real period |
R |
1.3501369736284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43512w1 87024b1 |
Quadratic twists by: -4 -7 |