Atkin-Lehner |
2+ 3+ 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60030f |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
31189259796480 = 214 · 39 · 5 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55554,-5018860] |
[a1,a2,a3,a4,a6] |
Generators |
[-3777:2414:27] |
Generators of the group modulo torsion |
j |
963347157880947/1584578560 |
j-invariant |
L |
3.9006021353312 |
L(r)(E,1)/r! |
Ω |
0.31100205644188 |
Real period |
R |
6.2710230599884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030y1 |
Quadratic twists by: -3 |