Atkin-Lehner |
2+ 3+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050p |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
22982400 |
Modular degree for the optimal curve |
Δ |
-4.9123600887216E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- -4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-101083075,-516497517875] |
[a1,a2,a3,a4,a6] |
Generators |
[12285:303620:1] |
Generators of the group modulo torsion |
j |
-292414577195630369388505/125756418271272763392 |
j-invariant |
L |
3.7600142549777 |
L(r)(E,1)/r! |
Ω |
0.023318157138479 |
Real period |
R |
7.6784926344363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050cr1 |
Quadratic twists by: 5 |