Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050de |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-165375000 = -1 · 23 · 33 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2330,-42703] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1171:1] |
Generators of the group modulo torsion |
j |
-67645179/8 |
j-invariant |
L |
8.2530724319655 |
L(r)(E,1)/r! |
Ω |
0.34359122212441 |
Real period |
R |
4.0033388032718 |
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 |
22050h2 882b1 22050cy1 |
Quadratic twists by: -3 5 -7 |