Atkin-Lehner |
2+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070w |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
6.8490646392647E+25 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-129024032,-399631805824] |
[a1,a2,a3,a4,a6] |
j |
2019051077229077416165369/582160888682835862400 |
j-invariant |
L |
2.1974960640952 |
L(r)(E,1)/r! |
Ω |
0.045781168382926 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010f2 |
Quadratic twists by: -7 |