Atkin-Lehner |
2+ 3+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450j |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
7288704000000 = 213 · 34 · 56 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -3 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5900,114000] |
[a1,a2,a3,a4,a6] |
j |
1454034564289/466477056 |
j-invariant |
L |
1.3749108116412 |
L(r)(E,1)/r! |
Ω |
0.6874553952915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218g1 |
Quadratic twists by: 5 |