Atkin-Lehner |
2+ 3- 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570t |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
46464000 |
Modular degree for the optimal curve |
Δ |
-1.8612681922032E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -5 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37253151,188207793405] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:428747:1] |
Generators of the group modulo torsion |
j |
7843054187292648167696111/25531799618700000000000 |
j-invariant |
L |
2.5801841214971 |
L(r)(E,1)/r! |
Ω |
0.048671812653494 |
Real period |
R |
1.2048153594495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000129376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38190be1 |
Quadratic twists by: -3 |