Atkin-Lehner |
2- 3- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402bm |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
208030146370486272 = 214 · 36 · 7 · 174 · 313 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 2 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-150077,4421125] |
[a1,a2,a3,a4,a6] |
Generators |
[-299:4892:1] |
Generators of the group modulo torsion |
j |
512785681542817929/285363712442368 |
j-invariant |
L |
5.7436421558425 |
L(r)(E,1)/r! |
Ω |
0.27414201202485 |
Real period |
R |
0.12471034961691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378d1 |
Quadratic twists by: -3 |