Atkin-Lehner |
2+ 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768u |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-30259992384 = -1 · 26 · 32 · 175 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 -3 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,476,-7514] |
[a1,a2,a3,a4,a6] |
Generators |
[170:867:8] |
Generators of the group modulo torsion |
j |
185973854912/472812381 |
j-invariant |
L |
6.4398099129352 |
L(r)(E,1)/r! |
Ω |
0.60624392539896 |
Real period |
R |
1.0622473275857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768bs1 60384ba1 |
Quadratic twists by: -4 8 |