Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4680k |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-6550502400 = -1 · 210 · 39 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,4158] |
[a1,a2,a3,a4,a6] |
Generators |
[6:54:1] |
Generators of the group modulo torsion |
j |
-78732/325 |
j-invariant |
L |
3.5699238874628 |
L(r)(E,1)/r! |
Ω |
1.1639481545524 |
Real period |
R |
1.5335407653255 |
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 |
9360c1 37440o1 4680c1 23400a1 |
Quadratic twists by: -4 8 -3 5 |