Atkin-Lehner |
2- 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380r |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-3.802953729413E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -1 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,610923,232919829] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:7935:1] |
Generators of the group modulo torsion |
j |
58371303607398519552/88031336329004125 |
j-invariant |
L |
6.0560757076873 |
L(r)(E,1)/r! |
Ω |
0.13932410292848 |
Real period |
R |
0.24148632100742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70380a1 |
Quadratic twists by: -3 |