Atkin-Lehner |
2+ 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640j |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-353203200 = -1 · 210 · 33 · 52 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,900] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:30:1] [0:30:1] |
Generators of the group modulo torsion |
j |
-19307236/344925 |
j-invariant |
L |
13.30241384607 |
L(r)(E,1)/r! |
Ω |
1.4354752602302 |
Real period |
R |
0.77224214044169 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61320d1 |
Quadratic twists by: -4 |