Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600bm |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-61053750000 = -1 · 24 · 36 · 57 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,825,-7625] |
[a1,a2,a3,a4,a6] |
Generators |
[9:23:1] |
Generators of the group modulo torsion |
j |
340736/335 |
j-invariant |
L |
7.5807739418909 |
L(r)(E,1)/r! |
Ω |
0.60388388997415 |
Real period |
R |
3.1383408721816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999552278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13400a1 24120k1 |
Quadratic twists by: -3 5 |