Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37752h |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
3677212245749328 = 24 · 310 · 116 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 11- 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78811,-7974272] |
[a1,a2,a3,a4,a6] |
Generators |
[5947:458055:1] |
Generators of the group modulo torsion |
j |
1909913257984/129730653 |
j-invariant |
L |
6.7203232500316 |
L(r)(E,1)/r! |
Ω |
0.28615661065417 |
Real period |
R |
3.9141289535286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504x1 113256cb1 312e1 |
Quadratic twists by: -4 -3 -11 |