Atkin-Lehner |
3- 11+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
91377c |
Isogeny class |
Conductor |
91377 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3957120 |
Modular degree for the optimal curve |
Δ |
-69361424163603 = -1 · 36 · 112 · 133 · 713 |
Discriminant |
Eigenvalues |
2 3- -4 4 11+ 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5569347,-5058881789] |
[a1,a2,a3,a4,a6] |
Generators |
[391224656733117597442478:37550704117992682885022913:39793130410320169336] |
Generators of the group modulo torsion |
j |
-26206499626995248533504/95145986507 |
j-invariant |
L |
10.427859050864 |
L(r)(E,1)/r! |
Ω |
0.049138114676532 |
Real period |
R |
35.369214303767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10153b1 |
Quadratic twists by: -3 |