Atkin-Lehner |
2+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
7018b |
Isogeny class |
Conductor |
7018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5400 |
Modular degree for the optimal curve |
Δ |
-52608275456 = -1 · 210 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ -1 1 2 11- 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,603,-9203] |
[a1,a2,a3,a4,a6] |
Generators |
[42:283:1] |
Generators of the group modulo torsion |
j |
13651919/29696 |
j-invariant |
L |
2.7334927284039 |
L(r)(E,1)/r! |
Ω |
0.58295267840713 |
Real period |
R |
2.3445236891894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56144q1 63162ca1 58b1 |
Quadratic twists by: -4 -3 -11 |