Atkin-Lehner |
2+ 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
61800a |
Isogeny class |
Conductor |
61800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-834300000000 = -1 · 28 · 34 · 58 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 0 3 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2292,11412] |
[a1,a2,a3,a4,a6] |
j |
13310000/8343 |
j-invariant |
L |
2.2111361079803 |
L(r)(E,1)/r! |
Ω |
0.5527840265957 |
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 |
123600r1 61800p1 |
Quadratic twists by: -4 5 |