Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978i |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
779520 |
Modular degree for the optimal curve |
Δ |
-1.0100368324586E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 4 -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8989911,-10484661407] |
[a1,a2,a3,a4,a6] |
Generators |
[449468:301102313:1] |
Generators of the group modulo torsion |
j |
-110220502768046192851057/1385510058242258004 |
j-invariant |
L |
2.5158121707618 |
L(r)(E,1)/r! |
Ω |
0.043561791331465 |
Real period |
R |
3.6095453347218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103824ce1 4326g1 90846bp1 |
Quadratic twists by: -4 -3 -7 |