Atkin-Lehner |
2+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070w |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
2.6113548266388E+22 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-118267552,-495035329536] |
[a1,a2,a3,a4,a6] |
j |
1555006827939811751684089/221961497899581440 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010f1 |
Quadratic twists by: -7 |