Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200x |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-107200 = -1 · 26 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53,133] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1:1] [12:37:1] |
Generators of the group modulo torsion |
j |
-10485760/67 |
j-invariant |
L |
7.2224451239741 |
L(r)(E,1)/r! |
Ω |
3.3630830624257 |
Real period |
R |
2.1475666795981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200bz1 1675b1 107200be1 |
Quadratic twists by: -4 8 5 |