Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275s |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-302605988368359375 = -1 · 310 · 58 · 7 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36230,-26590228] |
[a1,a2,a3,a4,a6] |
Generators |
[179093796:-8547820100:79507] |
Generators of the group modulo torsion |
j |
-461710681489/26566232175 |
j-invariant |
L |
3.8356581232986 |
L(r)(E,1)/r! |
Ω |
0.13479550499119 |
Real period |
R |
14.227692991827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19425s1 11655l1 |
Quadratic twists by: -3 5 |