Atkin-Lehner |
3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425m |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
810210884765625 = 37 · 59 · 74 · 79 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-142542,-20633009] |
[a1,a2,a3,a4,a6] |
Generators |
[38036:634607:64] |
Generators of the group modulo torsion |
j |
28119423707929/71129625 |
j-invariant |
L |
9.8884255248389 |
L(r)(E,1)/r! |
Ω |
0.24574218753984 |
Real period |
R |
5.0298778627744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41475d1 24885i1 |
Quadratic twists by: -3 5 |