Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2100o |
Isogeny class |
Conductor |
2100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-416918643750000 = -1 · 24 · 34 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100458,12261213] |
[a1,a2,a3,a4,a6] |
j |
-17939139239680/66706983 |
j-invariant |
L |
2.1343632381813 |
L(r)(E,1)/r! |
Ω |
0.53359080954532 |
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 |
8400bs1 33600be1 6300u1 2100d1 |
Quadratic twists by: -4 8 -3 5 |