Atkin-Lehner |
3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4515c |
Isogeny class |
Conductor |
4515 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
-23229675 = -1 · 32 · 52 · 74 · 43 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -3 -3 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-236,1496] |
[a1,a2,a3,a4,a6] |
Generators |
[66:809:27] [-7:52:1] |
Generators of the group modulo torsion |
j |
-1459817795584/23229675 |
j-invariant |
L |
2.2115380778149 |
L(r)(E,1)/r! |
Ω |
2.1413489939241 |
Real period |
R |
0.064548623440505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72240cm1 13545m1 22575m1 31605y1 |
Quadratic twists by: -4 -3 5 -7 |