Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018b |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
3215564352 = 26 · 33 · 7 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-873,-9331] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:28:1] |
Generators of the group modulo torsion |
j |
2726983297611/119094976 |
j-invariant |
L |
2.9520465125318 |
L(r)(E,1)/r! |
Ω |
0.88063009685808 |
Real period |
R |
0.55869967860969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18018v1 126126t1 |
Quadratic twists by: -3 -7 |