Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200by |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-106774200000000000 = -1 · 212 · 35 · 511 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,116867,-3231637] |
[a1,a2,a3,a4,a6] |
Generators |
[293:-7500:1] |
Generators of the group modulo torsion |
j |
2758136205824/1668346875 |
j-invariant |
L |
5.7011791399592 |
L(r)(E,1)/r! |
Ω |
0.19440126570963 |
Real period |
R |
0.73317155615576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31200b1 62400be1 93600bd1 6240i1 |
Quadratic twists by: -4 8 -3 5 |