Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720l |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1014686023680 = 230 · 33 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2625,-17343] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:1177:8] |
Generators of the group modulo torsion |
j |
7633736209/3870720 |
j-invariant |
L |
3.7757685625521 |
L(r)(E,1)/r! |
Ω |
0.70372145809985 |
Real period |
R |
5.3654304826048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720cg1 210a1 20160bn1 33600cc1 |
Quadratic twists by: -4 8 -3 5 |