Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488da |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-2454782820424704 = -1 · 210 · 37 · 77 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8559,2367063] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:1323:1] |
Generators of the group modulo torsion |
j |
575511296/20376279 |
j-invariant |
L |
7.354422109028 |
L(r)(E,1)/r! |
Ω |
0.34608645810557 |
Real period |
R |
1.5178746581408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488gf1 12936g1 14784b1 |
Quadratic twists by: -4 8 -7 |