Atkin-Lehner |
2+ 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350bt |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
51710400 |
Modular degree for the optimal curve |
Δ |
-2.5525138132228E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-370248701,3664377305048] |
[a1,a2,a3,a4,a6] |
Generators |
[30210966:58692763463:8] |
Generators of the group modulo torsion |
j |
-14369587664767813511382505/6534435361850386808832 |
j-invariant |
L |
7.0490636023093 |
L(r)(E,1)/r! |
Ω |
0.042690635571922 |
Real period |
R |
9.173314928332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995111 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70350ca1 |
Quadratic twists by: 5 |