Atkin-Lehner |
2+ 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152g |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
93184 |
Modular degree for the optimal curve |
Δ |
-2119097604096 = -1 · 211 · 313 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 11+ -6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20472,1122804] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:1242:1] [138:972:1] |
Generators of the group modulo torsion |
j |
-463335730397426/1034715627 |
j-invariant |
L |
7.5983267025093 |
L(r)(E,1)/r! |
Ω |
0.82655518807086 |
Real period |
R |
0.17678392134589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15576b1 124608ct1 93456q1 |
Quadratic twists by: -4 8 -3 |