Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640cq |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-102877888512000 = -1 · 229 · 3 · 53 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38136,2895060] |
[a1,a2,a3,a4,a6] |
Generators |
[8418:124928:27] |
Generators of the group modulo torsion |
j |
-1497547370519929/25116672000 |
j-invariant |
L |
8.5726387991828 |
L(r)(E,1)/r! |
Ω |
0.59795293367977 |
Real period |
R |
3.5841611934052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330b1 |
Quadratic twists by: -4 |