Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430h |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-1.137819357239E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3078630,2638321076] |
[a1,a2,a3,a4,a6] |
Generators |
[860:24594:1] |
Generators of the group modulo torsion |
j |
-1015884369980369163/358196480000000 |
j-invariant |
L |
3.0494613390025 |
L(r)(E,1)/r! |
Ω |
0.14558208755335 |
Real period |
R |
2.6183349595386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999488898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430dg1 2070c1 |
Quadratic twists by: -3 -7 |