Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475u |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-6010296875 = -1 · 56 · 113 · 172 |
Discriminant |
Eigenvalues |
-2 -3 5+ -2 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7225,236406] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-138:1] [-50:687:1] |
Generators of the group modulo torsion |
j |
-9236754432/1331 |
j-invariant |
L |
3.0891003816744 |
L(r)(E,1)/r! |
Ω |
1.2982740387936 |
Real period |
R |
0.19828250748016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179f1 79475h1 |
Quadratic twists by: 5 17 |