Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3870o |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
1354190400 = 26 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-677,-6371] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:16:1] |
Generators of the group modulo torsion |
j |
1740992427/68800 |
j-invariant |
L |
5.1477788779518 |
L(r)(E,1)/r! |
Ω |
0.93833740218756 |
Real period |
R |
0.91434397086283 |
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 |
30960ba1 123840j1 3870b1 19350e1 |
Quadratic twists by: -4 8 -3 5 |