Atkin-Lehner |
5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37975m |
Isogeny class |
Conductor |
37975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-488656959765625 = -1 · 58 · 79 · 31 |
Discriminant |
Eigenvalues |
1 -2 5- 7- -4 -3 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22076,-1652577] |
[a1,a2,a3,a4,a6] |
Generators |
[277:3536:1] |
Generators of the group modulo torsion |
j |
-25888585/10633 |
j-invariant |
L |
2.0920908336214 |
L(r)(E,1)/r! |
Ω |
0.1919645080125 |
Real period |
R |
1.8163868374096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37975c1 5425j1 |
Quadratic twists by: 5 -7 |