Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
35400b |
Isogeny class |
Conductor |
35400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23424 |
Modular degree for the optimal curve |
Δ |
-244684800 = -1 · 211 · 34 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 3 -7 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,152,172] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] |
Generators of the group modulo torsion |
j |
7535710/4779 |
j-invariant |
L |
3.2685421704714 |
L(r)(E,1)/r! |
Ω |
1.0917095450422 |
Real period |
R |
1.4969834171165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800p1 106200bl1 35400s1 |
Quadratic twists by: -4 -3 5 |