Atkin-Lehner |
3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59565h |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-429324812967580695 = -1 · 38 · 5 · 114 · 197 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,109195,-28255030] |
[a1,a2,a3,a4,a6] |
Generators |
[538442940:2146013099:2744000] |
Generators of the group modulo torsion |
j |
3060624960359/9125662095 |
j-invariant |
L |
4.2280930763967 |
L(r)(E,1)/r! |
Ω |
0.15269110102137 |
Real period |
R |
13.845250469082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3135f4 |
Quadratic twists by: -19 |