Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1848a |
Isogeny class |
Conductor |
1848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-4024944 = -1 · 24 · 33 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11+ -3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236,-1323] |
[a1,a2,a3,a4,a6] |
j |
-91238612224/251559 |
j-invariant |
L |
1.2174372607542 |
L(r)(E,1)/r! |
Ω |
0.60871863037712 |
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 |
3696l1 14784bk1 5544v1 46200cn1 |
Quadratic twists by: -4 8 -3 5 |