Atkin-Lehner |
2- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
116600q |
Isogeny class |
Conductor |
116600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-123596000000 = -1 · 28 · 56 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3233,-73837] |
[a1,a2,a3,a4,a6] |
Generators |
[197527:2201938:1331] |
Generators of the group modulo torsion |
j |
-934577152/30899 |
j-invariant |
L |
9.2510563145195 |
L(r)(E,1)/r! |
Ω |
0.31594603055479 |
Real period |
R |
7.3201238926427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999963594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4664b1 |
Quadratic twists by: 5 |