Atkin-Lehner |
2+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
49400h |
Isogeny class |
Conductor |
49400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
126898720000 = 28 · 54 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5233,142963] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:494:1] |
Generators of the group modulo torsion |
j |
99069260800/793117 |
j-invariant |
L |
8.8226972695069 |
L(r)(E,1)/r! |
Ω |
1.0483577960961 |
Real period |
R |
0.35065546094757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800bb1 49400m1 |
Quadratic twists by: -4 5 |