Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032s |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-1355373674355456 = -1 · 28 · 38 · 76 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 5 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24108,1030372] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:414:1] |
Generators of the group modulo torsion |
j |
70575104/61731 |
j-invariant |
L |
7.9674653417004 |
L(r)(E,1)/r! |
Ω |
0.31322061584711 |
Real period |
R |
3.179653947559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344bd1 1368c1 |
Quadratic twists by: -3 -7 |