Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200j |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-15803136000000 = -1 · 214 · 32 · 56 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5467,109437] |
[a1,a2,a3,a4,a6] |
Generators |
[6820:94137:125] |
Generators of the group modulo torsion |
j |
70575104/61731 |
j-invariant |
L |
6.7424585868155 |
L(r)(E,1)/r! |
Ω |
0.4538997948914 |
Real period |
R |
7.427254497771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200ii1 11400l1 3648k1 |
Quadratic twists by: -4 8 5 |