Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800bu |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-4983264000000 = -1 · 211 · 32 · 56 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4192,-26388] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1977:8] |
Generators of the group modulo torsion |
j |
254527054/155727 |
j-invariant |
L |
4.5637949007807 |
L(r)(E,1)/r! |
Ω |
0.44481356208556 |
Real period |
R |
5.130008716431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3432b1 |
Quadratic twists by: 5 |