Atkin-Lehner |
2+ 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640h |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
6208650000 = 24 · 35 · 55 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -4 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1520,-21993] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:15:1] |
Generators of the group modulo torsion |
j |
24289589883136/388040625 |
j-invariant |
L |
5.904234776683 |
L(r)(E,1)/r! |
Ω |
0.76530651757924 |
Real period |
R |
1.5429725634314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999669442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61320o1 |
Quadratic twists by: -4 |