Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352o |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-7771926822912 = -1 · 220 · 32 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3152,151488] |
[a1,a2,a3,a4,a6] |
Generators |
[26:294:1] |
Generators of the group modulo torsion |
j |
-7189057/16128 |
j-invariant |
L |
3.03547238646 |
L(r)(E,1)/r! |
Ω |
0.65679783337202 |
Real period |
R |
1.1554059073535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
294c1 9408db1 7056by1 58800ix1 |
Quadratic twists by: -4 8 -3 5 |