Atkin-Lehner |
2+ 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080h |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-1190444138496000 = -1 · 229 · 35 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 2 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16641,1859841] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-1024:1] [104:1115:1] |
Generators of the group modulo torsion |
j |
-1944232280641/4541184000 |
j-invariant |
L |
7.73667773846 |
L(r)(E,1)/r! |
Ω |
0.43131954643362 |
Real period |
R |
4.4843074017697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080ci1 2190q1 |
Quadratic twists by: -4 8 |