Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072h |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
245188944 = 24 · 37 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63066,6095945] |
[a1,a2,a3,a4,a6] |
Generators |
[161:340:1] |
Generators of the group modulo torsion |
j |
2378274944677888/21021 |
j-invariant |
L |
4.4464648555096 |
L(r)(E,1)/r! |
Ω |
1.2203675173626 |
Real period |
R |
3.6435457283809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001278 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024u1 |
Quadratic twists by: -3 |