Atkin-Lehner |
2+ 3- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
36378c |
Isogeny class |
Conductor |
36378 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
70388433616896 = 216 · 312 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 2 0 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22005,1195317] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1155:1] |
Generators of the group modulo torsion |
j |
1616483976716881/96554778624 |
j-invariant |
L |
2.7635810260292 |
L(r)(E,1)/r! |
Ω |
0.60611726733525 |
Real period |
R |
1.1398706054768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12126g1 |
Quadratic twists by: -3 |