Atkin-Lehner |
3- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
60705o |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-945928074375 = -1 · 310 · 54 · 192 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -2 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-347,46946] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:214:1] |
Generators of the group modulo torsion |
j |
-6321363049/1297569375 |
j-invariant |
L |
4.1167324157571 |
L(r)(E,1)/r! |
Ω |
0.71989617500304 |
Real period |
R |
0.71481356592913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20235l1 |
Quadratic twists by: -3 |