Atkin-Lehner |
2- 3- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640ct |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
907382976675840 = 228 · 33 · 5 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1128120,460813140] |
[a1,a2,a3,a4,a6] |
Generators |
[1143:25806:1] |
Generators of the group modulo torsion |
j |
38764130353913837881/221529047040 |
j-invariant |
L |
7.8888208565478 |
L(r)(E,1)/r! |
Ω |
0.44251891239103 |
Real period |
R |
5.9423606108279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330g1 |
Quadratic twists by: -4 |