Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800j |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
234240 |
Modular degree for the optimal curve |
Δ |
-3823200000000 = -1 · 211 · 34 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 -3 7 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3792,-29088] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-450:1] |
Generators of the group modulo torsion |
j |
7535710/4779 |
j-invariant |
L |
2.8139881407679 |
L(r)(E,1)/r! |
Ω |
0.45087508564553 |
Real period |
R |
0.52009751530848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400s1 70800p1 |
Quadratic twists by: -4 5 |