Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344s |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
13271040 |
Modular degree for the optimal curve |
Δ |
-6.6797185388773E+23 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 11- 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21168236,54327435696] |
[a1,a2,a3,a4,a6] |
Generators |
[326:217856:1] |
Generators of the group modulo torsion |
j |
-4001637980024799157233/2548110404539996912 |
j-invariant |
L |
4.1710319121202 |
L(r)(E,1)/r! |
Ω |
0.083954035945635 |
Real period |
R |
3.1051454748073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344dt1 3542k1 |
Quadratic twists by: -4 8 |