Atkin-Lehner |
2- 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102300b |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-6773079199218750000 = -1 · 24 · 38 · 514 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,439967,-55476938] |
[a1,a2,a3,a4,a6] |
j |
37674112116310016/27092316796875 |
j-invariant |
L |
0.5326622843804 |
L(r)(E,1)/r! |
Ω |
0.13316566026559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460g1 |
Quadratic twists by: 5 |