Atkin-Lehner |
2+ 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310ba |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
-5798244340041300 = -1 · 22 · 39 · 52 · 79 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 7 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-89352,-10950876] |
[a1,a2,a3,a4,a6] |
Generators |
[650:14032:1] |
Generators of the group modulo torsion |
j |
-670588189536889/49284263700 |
j-invariant |
L |
4.8648832904032 |
L(r)(E,1)/r! |
Ω |
0.13748683317915 |
Real period |
R |
4.423044690581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330i1 |
Quadratic twists by: -7 |