Atkin-Lehner |
2+ 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080l |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-3588096000 = -1 · 217 · 3 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -4 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,4225] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:80:1] [0:65:1] |
Generators of the group modulo torsion |
j |
-48275138/27375 |
j-invariant |
L |
8.5984664391462 |
L(r)(E,1)/r! |
Ω |
1.3027680631665 |
Real period |
R |
0.55001261558954 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080cm1 8760f1 |
Quadratic twists by: -4 8 |