Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3850k |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-2818392500 = -1 · 22 · 54 · 7 · 115 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11- 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-501,-5052] |
[a1,a2,a3,a4,a6] |
Generators |
[33:104:1] |
Generators of the group modulo torsion |
j |
-22187592025/4509428 |
j-invariant |
L |
3.0653798872146 |
L(r)(E,1)/r! |
Ω |
0.49921980919498 |
Real period |
R |
0.61403410496824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30800cs1 123200cn1 34650ea1 3850t2 |
Quadratic twists by: -4 8 -3 5 |