Atkin-Lehner |
2+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103400t |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76416 |
Modular degree for the optimal curve |
Δ |
-31102720000 = -1 · 211 · 54 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11- -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-808,-11988] |
[a1,a2,a3,a4,a6] |
j |
-45633650/24299 |
j-invariant |
L |
2.6207283521067 |
L(r)(E,1)/r! |
Ω |
0.43678813093207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400bd1 |
Quadratic twists by: 5 |