Atkin-Lehner |
2- 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310cg |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-136349073252000 = -1 · 25 · 34 · 53 · 78 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4164,-550467] |
[a1,a2,a3,a4,a6] |
Generators |
[97:833:1] |
Generators of the group modulo torsion |
j |
67867385039/1158948000 |
j-invariant |
L |
6.7842073083928 |
L(r)(E,1)/r! |
Ω |
0.28429407116035 |
Real period |
R |
1.193167219127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999740268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330bc1 |
Quadratic twists by: -7 |