Atkin-Lehner |
2- 3+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640bx |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
2154240 |
Modular degree for the optimal curve |
Δ |
5141337788792394000 = 24 · 311 · 53 · 7 · 735 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-470190,-58992525] |
[a1,a2,a3,a4,a6] |
Generators |
[-13785:186515:27] |
Generators of the group modulo torsion |
j |
718496766627737449216/321333611799524625 |
j-invariant |
L |
7.4925332405049 |
L(r)(E,1)/r! |
Ω |
0.19007935902159 |
Real period |
R |
2.62786143231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660v1 |
Quadratic twists by: -4 |