Atkin-Lehner |
2- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26800bk |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-107200000000 = -1 · 212 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 2 5- -2 0 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5333,-148963] |
[a1,a2,a3,a4,a6] |
Generators |
[402832:2120925:4096] |
Generators of the group modulo torsion |
j |
-10485760/67 |
j-invariant |
L |
6.9883265011091 |
L(r)(E,1)/r! |
Ω |
0.27922483812815 |
Real period |
R |
8.3425320707583 |
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 |
1675d1 107200do1 26800bd1 |
Quadratic twists by: -4 8 5 |