Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
14070h |
Isogeny class |
Conductor |
14070 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
22735031484375000 = 23 · 33 · 510 · 74 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2761590,1765225755] |
[a1,a2,a3,a4,a6] |
Generators |
[-1137:59193:1] |
Generators of the group modulo torsion |
j |
2329170742739282109464161/22735031484375000 |
j-invariant |
L |
6.5306974436954 |
L(r)(E,1)/r! |
Ω |
0.34379978010887 |
Real period |
R |
0.31659402853735 |
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 |
112560cm2 42210i2 70350v2 98490bt2 |
Quadratic twists by: -4 -3 5 -7 |