Atkin-Lehner |
3+ 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
95403c |
Isogeny class |
Conductor |
95403 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-3148299 = -1 · 32 · 72 · 112 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 3 7- 11+ -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64,188] |
[a1,a2,a3,a4,a6] |
Generators |
[8:12:1] |
Generators of the group modulo torsion |
j |
-592231633/64251 |
j-invariant |
L |
4.4035713705675 |
L(r)(E,1)/r! |
Ω |
2.4574765670552 |
Real period |
R |
0.44797694388965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95403g1 |
Quadratic twists by: -7 |