Atkin-Lehner |
2+ 3+ 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
99990c |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1444608 |
Modular degree for the optimal curve |
Δ |
11465031942144000 = 222 · 39 · 53 · 11 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 6 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59685,-2212075] |
[a1,a2,a3,a4,a6] |
Generators |
[7401:34168:27] |
Generators of the group modulo torsion |
j |
1194626398007043/582483968000 |
j-invariant |
L |
2.6222087752521 |
L(r)(E,1)/r! |
Ω |
0.32085640150795 |
Real period |
R |
8.1725306721189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999717136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99990p1 |
Quadratic twists by: -3 |