Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43512bd |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
1013376 |
Modular degree for the optimal curve |
Δ |
-696453792798210048 = -1 · 211 · 313 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 5 -1 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165440,-47835936] |
[a1,a2,a3,a4,a6] |
Generators |
[751:15876:1] |
Generators of the group modulo torsion |
j |
-42416382722/58989951 |
j-invariant |
L |
5.6807313792522 |
L(r)(E,1)/r! |
Ω |
0.11264229570218 |
Real period |
R |
1.2931179895354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024b1 43512w1 |
Quadratic twists by: -4 -7 |