Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520m |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55738368 |
Modular degree for the optimal curve |
Δ |
-5.1829154067587E+27 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 -1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-403313185,-4659965564323] |
[a1,a2,a3,a4,a6] |
Generators |
[297697575436877998303724:2368076511979508437437920023:4704726500922547] |
Generators of the group modulo torsion |
j |
-240892216689399984415744/172086148693581998435 |
j-invariant |
L |
3.7665795944649 |
L(r)(E,1)/r! |
Ω |
0.016331406632449 |
Real period |
R |
28.829264980313 |
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 |
60760i1 17360d1 |
Quadratic twists by: -4 -7 |