Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950fn |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-154352546775000000 = -1 · 26 · 32 · 58 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,99812,-14449219] |
[a1,a2,a3,a4,a6] |
j |
59822347031/83966400 |
j-invariant |
L |
4.1386449284218 |
L(r)(E,1)/r! |
Ω |
0.17244352518334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bf1 17850bp1 |
Quadratic twists by: 5 -7 |