Atkin-Lehner |
2+ 3+ 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042c |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-658738676736 = -1 · 210 · 39 · 72 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -1 -1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,174,38996] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-234:1] [-29:109:1] |
Generators of the group modulo torsion |
j |
29503629/33467392 |
j-invariant |
L |
6.4620205183954 |
L(r)(E,1)/r! |
Ω |
0.71102265641328 |
Real period |
R |
1.1360433560332 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84042bc1 |
Quadratic twists by: -3 |