Atkin-Lehner |
2+ 3- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650bd |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-806373360000000 = -1 · 210 · 33 · 57 · 132 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-651,1366198] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-1224:1] |
Generators of the group modulo torsion |
j |
-1948441249/51607895040 |
j-invariant |
L |
6.9771231292688 |
L(r)(E,1)/r! |
Ω |
0.40149810212672 |
Real period |
R |
0.72407182640915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999866822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330u1 |
Quadratic twists by: 5 |