Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600x |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-12045996000000 = -1 · 28 · 311 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -1 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3900,-191500] |
[a1,a2,a3,a4,a6] |
Generators |
[94:522:1] |
Generators of the group modulo torsion |
j |
-2249728/4131 |
j-invariant |
L |
6.7305351214481 |
L(r)(E,1)/r! |
Ω |
0.28472874164718 |
Real period |
R |
2.9548014201654 |
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 |
61200ca1 10200y1 1224g1 |
Quadratic twists by: -4 -3 5 |