Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129948a |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
18394575505488 = 24 · 32 · 76 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14373,-625554] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:98:1] |
Generators of the group modulo torsion |
j |
174456832000/9771957 |
j-invariant |
L |
6.0572148717568 |
L(r)(E,1)/r! |
Ω |
0.43754674978777 |
Real period |
R |
2.3072638403502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000175441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652g1 |
Quadratic twists by: -7 |