Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7854r |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
1620 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-173578967063986176 = -1 · 218 · 36 · 75 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,139303,-1140039] |
[a1,a2,a3,a4,a6] |
Generators |
[52:2473:1] |
Generators of the group modulo torsion |
j |
298954383299125345007/173578967063986176 |
j-invariant |
L |
6.4039415541379 |
L(r)(E,1)/r! |
Ω |
0.19044132226032 |
Real period |
R |
0.18681582681889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62832bd1 23562q1 54978bm1 86394w1 |
Quadratic twists by: -4 -3 -7 -11 |