Atkin-Lehner |
2- 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109980v |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
15785280 |
Modular degree for the optimal curve |
Δ |
-1.5003960351962E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -4 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6494817,19695223649] |
[a1,a2,a3,a4,a6] |
Generators |
[-3107:99405:1] |
Generators of the group modulo torsion |
j |
-2597628003070123012864/12863477668005859375 |
j-invariant |
L |
3.0226762983417 |
L(r)(E,1)/r! |
Ω |
0.089225259457657 |
Real period |
R |
0.089621459995318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000153448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12220b1 |
Quadratic twists by: -3 |