Atkin-Lehner |
2+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
38710m |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13708800 |
Modular degree for the optimal curve |
Δ |
-4.013021893573E+24 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 3 3 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18036370,100794639700] |
[a1,a2,a3,a4,a6] |
Generators |
[5095:373140:1] |
Generators of the group modulo torsion |
j |
-5515474655200103032041/34110123278336000000 |
j-invariant |
L |
1.7851228891303 |
L(r)(E,1)/r! |
Ω |
0.06746507446981 |
Real period |
R |
6.6149889522834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5530i1 |
Quadratic twists by: -7 |