Atkin-Lehner |
2- 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126dj |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-333689051824128 = -1 · 214 · 33 · 74 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 13- 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8149,-834053] |
[a1,a2,a3,a4,a6] |
Generators |
[79:506:1] |
Generators of the group modulo torsion |
j |
923274208269/5147377664 |
j-invariant |
L |
8.694718475719 |
L(r)(E,1)/r! |
Ω |
0.27133797977951 |
Real period |
R |
0.095368655932906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999557411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126g1 126126ds1 |
Quadratic twists by: -3 -7 |