Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360es |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
69189120 |
Modular degree for the optimal curve |
Δ |
-2.6193290591217E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-568804560,-5772764755008] |
[a1,a2,a3,a4,a6] |
j |
-861923363555648023441/110929177533556800 |
j-invariant |
L |
2.0257829077458 |
L(r)(E,1)/r! |
Ω |
0.015346845721365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170cc1 129360gt1 |
Quadratic twists by: -4 -7 |