Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
75036c |
Isogeny class |
Conductor |
75036 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
81159515198014032 = 24 · 310 · 137 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1016253,394422534] |
[a1,a2,a3,a4,a6] |
Generators |
[351:8991:1] |
Generators of the group modulo torsion |
j |
1502967414784000/1050895053 |
j-invariant |
L |
4.9469091912683 |
L(r)(E,1)/r! |
Ω |
0.33918977319194 |
Real period |
R |
1.2153740033309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5772b1 |
Quadratic twists by: 13 |