Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43512w |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
144768 |
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 |
[724983:6696880:6859] |
Generators of the group modulo torsion |
j |
-42416382722/58989951 |
j-invariant |
L |
7.3317171964753 |
L(r)(E,1)/r! |
Ω |
0.68209707157868 |
Real period |
R |
10.748788555139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024bf1 43512bd1 |
Quadratic twists by: -4 -7 |