Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
14070h |
Isogeny class |
Conductor |
14070 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-56314035048600000 = -1 · 26 · 36 · 55 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-168510,28899387] |
[a1,a2,a3,a4,a6] |
Generators |
[207:1611:1] |
Generators of the group modulo torsion |
j |
-529176938004446588641/56314035048600000 |
j-invariant |
L |
6.5306974436954 |
L(r)(E,1)/r! |
Ω |
0.34379978010887 |
Real period |
R |
0.15829701426868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560cm1 42210i1 70350v1 98490bt1 |
Quadratic twists by: -4 -3 5 -7 |