Atkin-Lehner |
3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
41475f |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118080 |
Modular degree for the optimal curve |
Δ |
113408203125 = 3 · 510 · 72 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 -1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70013,-7159594] |
[a1,a2,a3,a4,a6] |
Generators |
[-111744:58213:729] |
Generators of the group modulo torsion |
j |
3886512940825/11613 |
j-invariant |
L |
3.5385624741384 |
L(r)(E,1)/r! |
Ω |
0.29349785285831 |
Real period |
R |
6.0282595591134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124425p1 41475s1 |
Quadratic twists by: -3 5 |