Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650l |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
261414843750 = 2 · 39 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 -5 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63492,6173666] |
[a1,a2,a3,a4,a6] |
Generators |
[145:-59:1] |
Generators of the group modulo torsion |
j |
3681571635/34 |
j-invariant |
L |
2.3003496729156 |
L(r)(E,1)/r! |
Ω |
0.88555833307311 |
Real period |
R |
1.2988131820367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200el1 7650bs1 7650bm1 |
Quadratic twists by: -4 -3 5 |