Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880c |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-72083520 = -1 · 26 · 37 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -2 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24,-414] |
[a1,a2,a3,a4,a6] |
Generators |
[201:298:27] |
Generators of the group modulo torsion |
j |
22906304/1126305 |
j-invariant |
L |
4.4128742994565 |
L(r)(E,1)/r! |
Ω |
0.9310561616559 |
Real period |
R |
4.7396435143592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880t1 49440g1 |
Quadratic twists by: -4 8 |