Atkin-Lehner |
2- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
93800v |
Isogeny class |
Conductor |
93800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-15764966000000000 = -1 · 210 · 59 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,46925,4602750] |
[a1,a2,a3,a4,a6] |
Generators |
[230:5250:1] |
Generators of the group modulo torsion |
j |
714194618364/985310375 |
j-invariant |
L |
5.0401918037982 |
L(r)(E,1)/r! |
Ω |
0.26506117372145 |
Real period |
R |
1.5846001800517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18760a1 |
Quadratic twists by: 5 |