Atkin-Lehner |
2+ 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11914a |
Isogeny class |
Conductor |
11914 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-20764291072 = -1 · 212 · 7 · 232 · 372 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 4 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18154,933972] |
[a1,a2,a3,a4,a6] |
Generators |
[51:354:1] |
Generators of the group modulo torsion |
j |
-661725825335468713/20764291072 |
j-invariant |
L |
5.4664642565535 |
L(r)(E,1)/r! |
Ω |
1.1309535985038 |
Real period |
R |
2.4167500168818 |
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 |
95312s1 107226z1 83398a1 |
Quadratic twists by: -4 -3 -7 |