Atkin-Lehner |
2+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12950h |
Isogeny class |
Conductor |
12950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-657393800000000 = -1 · 29 · 58 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -1 2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1300,1234000] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:941:1] |
Generators of the group modulo torsion |
j |
621257495/1682928128 |
j-invariant |
L |
2.2792223689755 |
L(r)(E,1)/r! |
Ω |
0.40148809287594 |
Real period |
R |
1.4192341002251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600ce1 116550fn1 12950n1 90650bk1 |
Quadratic twists by: -4 -3 5 -7 |