Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978j |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-18147970281111552 = -1 · 225 · 37 · 74 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -3 2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30690,6134548] |
[a1,a2,a3,a4,a6] |
Generators |
[899:27113:1] |
Generators of the group modulo torsion |
j |
4385093815095839/24894335090688 |
j-invariant |
L |
4.3682262670192 |
L(r)(E,1)/r! |
Ω |
0.28014237250316 |
Real period |
R |
3.898219883686 |
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 |
103824ci1 4326h1 90846bw1 |
Quadratic twists by: -4 -3 -7 |