Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240by |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
6394881024000000 = 216 · 32 · 56 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196385,33341217] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:8160:1] |
Generators of the group modulo torsion |
j |
12781179439594276/97578140625 |
j-invariant |
L |
6.9533200798598 |
L(r)(E,1)/r! |
Ω |
0.42528644135335 |
Real period |
R |
1.3624778080222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027468 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240la2 14280bv2 |
Quadratic twists by: -4 8 |