Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240cb |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-194645356416000 = -1 · 210 · 32 · 53 · 7 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18485,-1171275] |
[a1,a2,a3,a4,a6] |
Generators |
[357:6132:1] |
Generators of the group modulo torsion |
j |
-682190417035264/190083355875 |
j-invariant |
L |
6.526230549638 |
L(r)(E,1)/r! |
Ω |
0.20180080176532 |
Real period |
R |
5.3899938951915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jo3 7140i3 |
Quadratic twists by: -4 8 |