Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950bg |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-17077500000000 = -1 · 28 · 33 · 510 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,224,-198802] |
[a1,a2,a3,a4,a6] |
Generators |
[73:419:1] |
Generators of the group modulo torsion |
j |
80062991/1092960000 |
j-invariant |
L |
5.0429078715056 |
L(r)(E,1)/r! |
Ω |
0.32004459952054 |
Real period |
R |
2.6261485008964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850ef1 7590q1 |
Quadratic twists by: -3 5 |