Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35700bm |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-1.4672440890055E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24365467,35411609688] |
[a1,a2,a3,a4,a6] |
Generators |
[15988:2124150:1] |
Generators of the group modulo torsion |
j |
6398938035881268740096/5868976356022071915 |
j-invariant |
L |
6.8561097489489 |
L(r)(E,1)/r! |
Ω |
0.055595107659759 |
Real period |
R |
0.29362423274246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100bm1 7140b1 |
Quadratic twists by: -3 5 |