Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114996f |
Isogeny class |
Conductor |
114996 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
509843417695540992 = 28 · 34 · 7 · 378 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-203068,-7702856] |
[a1,a2,a3,a4,a6] |
Generators |
[1801:73926:1] |
Generators of the group modulo torsion |
j |
1409938000/776223 |
j-invariant |
L |
4.1853138686156 |
L(r)(E,1)/r! |
Ω |
0.24057559997298 |
Real period |
R |
2.899513959523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3108c2 |
Quadratic twists by: 37 |