Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400w |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-29654407800000000 = -1 · 29 · 314 · 58 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 1 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24792,-8156088] |
[a1,a2,a3,a4,a6] |
Generators |
[51549450:1060911513:125000] |
Generators of the group modulo torsion |
j |
8425795000/148272039 |
j-invariant |
L |
3.7354801335397 |
L(r)(E,1)/r! |
Ω |
0.181433421873 |
Real period |
R |
10.294355070785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400bm1 74400ct1 |
Quadratic twists by: -4 5 |