Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ea |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-10361483919360000 = -1 · 218 · 312 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16319,-4825825] |
[a1,a2,a3,a4,a6] |
Generators |
[139:384:1] [299:5184:1] |
Generators of the group modulo torsion |
j |
1833318007919/39525924375 |
j-invariant |
L |
13.258344120951 |
L(r)(E,1)/r! |
Ω |
0.1972680322656 |
Real period |
R |
2.8004081489883 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240fn3 1785h4 |
Quadratic twists by: -4 8 |