Atkin-Lehner |
2- 3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
74022q |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-232853078016 = -1 · 221 · 32 · 132 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 4 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1303,-13993] |
[a1,a2,a3,a4,a6] |
Generators |
[15:88:1] |
Generators of the group modulo torsion |
j |
1447602828503/1377828864 |
j-invariant |
L |
5.944508689795 |
L(r)(E,1)/r! |
Ω |
0.54159640141591 |
Real period |
R |
0.2613309853146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74022c1 |
Quadratic twists by: 13 |