Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ch |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-81138548736000000 = -1 · 224 · 32 · 56 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18145,-13730975] |
[a1,a2,a3,a4,a6] |
Generators |
[640:15375:1] |
Generators of the group modulo torsion |
j |
-2520453225529/309519000000 |
j-invariant |
L |
6.790526377518 |
L(r)(E,1)/r! |
Ω |
0.15189176651481 |
Real period |
R |
3.7255291242779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999688548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jv3 3570j3 |
Quadratic twists by: -4 8 |