Atkin-Lehner |
2+ 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310bg |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
11374272 |
Modular degree for the optimal curve |
Δ |
-6.7330140995654E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26371434,-53601690404] |
[a1,a2,a3,a4,a6] |
Generators |
[24989:3846513:1] |
Generators of the group modulo torsion |
j |
-7180332019437726121/238357665792000 |
j-invariant |
L |
5.8767994449214 |
L(r)(E,1)/r! |
Ω |
0.033245949384465 |
Real period |
R |
6.7987454878702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310r1 |
Quadratic twists by: -7 |