Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488bt |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-347640201216 = -1 · 215 · 39 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1185,-32031] |
[a1,a2,a3,a4,a6] |
Generators |
[385:7512:1] |
Generators of the group modulo torsion |
j |
-114709448/216513 |
j-invariant |
L |
6.8205241704652 |
L(r)(E,1)/r! |
Ω |
0.38308853077501 |
Real period |
R |
4.4510104193308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488cw1 51744bk1 103488co1 |
Quadratic twists by: -4 8 -7 |