Atkin-Lehner |
3+ 7- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
100233d |
Isogeny class |
Conductor |
100233 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-555992451 = -1 · 33 · 7 · 37 · 433 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 0 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2574,50277] |
[a1,a2,a3,a4,a6] |
Generators |
[130:899:8] [452:11497:64] |
Generators of the group modulo torsion |
j |
-69853082517504/20592313 |
j-invariant |
L |
8.3885721326204 |
L(r)(E,1)/r! |
Ω |
1.6040837002224 |
Real period |
R |
7.8442653570034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996359 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
100233c2 |
Quadratic twists by: -3 |