Atkin-Lehner |
2+ 3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920c |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
453120 |
Modular degree for the optimal curve |
Δ |
-467707500000000 = -1 · 28 · 33 · 510 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -3 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29881,2253925] |
[a1,a2,a3,a4,a6] |
Generators |
[4932:40625:64] |
Generators of the group modulo torsion |
j |
-11526133977631744/1826982421875 |
j-invariant |
L |
4.8561931592308 |
L(r)(E,1)/r! |
Ω |
0.50745820551829 |
Real period |
R |
2.3924103962416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63960p1 |
Quadratic twists by: -4 |