Atkin-Lehner |
3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26979c |
Isogeny class |
Conductor |
26979 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-148487730209877249 = -1 · 38 · 172 · 238 |
Discriminant |
Eigenvalues |
-1 3+ -1 -2 2 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42331,18822722] |
[a1,a2,a3,a4,a6] |
Generators |
[220:4386:1] [560:12801:1] |
Generators of the group modulo torsion |
j |
-107121649/1896129 |
j-invariant |
L |
4.250703030935 |
L(r)(E,1)/r! |
Ω |
0.27443046096273 |
Real period |
R |
1.2907650678979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80937r1 26979e1 |
Quadratic twists by: -3 -23 |